{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 实验2，调整learning_rate\n",
    "\n",
    "### 环境及智能体\n",
    "\n",
    "- 环境： MinorityGame_1， 少数派游戏，101人博弈，无穷博弈，创建环境时可自定义环境承载量，本实验中固定为50\n",
    "- 智能体：QLearningAgent，创建智能体时支持自定义学习率、折扣因子以及探索系数，本实验中固定折扣因子和探索系数，观察不同学习率对玩家决策及收益的影响\n",
    "\n",
    "### 实验结果\n",
    "\n",
    "101人少数博弈，固定环境承载量为50，探索系数为0.1，折扣因子为0.1时，选取不同的学习率,观察玩家决策和平均收益,发现:\n",
    "\n",
    "1. 相较于0.1和0.05，选用0.3及以上的学习率，玩家决策波动大\n",
    "2. 相较于0.1和0.05，选用0.3及以上的学习率，玩家平均收益降低\n",
    "\n",
    "### 实验内容\n",
    "\n",
    "#### 实验准备"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "# MG环境\n",
    "import gym\n",
    "from gym import spaces\n",
    "from gym.utils import seeding\n",
    "import random\n",
    "import numpy as np\n",
    "import copy\n",
    "import math, random\n",
    "from collections import deque\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "# %matplotlib inline\n",
    "\n",
    "class MinorityGame_1(gym.Env):\n",
    "    '''\n",
    "    Minority Game, we have some agent, every agent can choose 1 or 0 every day.\n",
    "    In midnight, all of the day to make a few choices of the agent to get +1 reward.\n",
    "    '''\n",
    "\n",
    "    def __init__(self, env_max=50):\n",
    "        '''\n",
    "        环境初始化:\n",
    "        玩家数固定101;\n",
    "        env_max 环境承载量，选择1能获取收益的最大人数，默认为50;\n",
    "        action_space 动作空间，大小为2，玩家只能选择0或1;\n",
    "        observation_space 观测空间，这个环境使用2，玩家立足于上一次博弈的状态;\n",
    "        '''\n",
    "        self.env_max = env_max\n",
    "        self.action_space = spaces.Discrete(2)\n",
    "        self.observation_space = spaces.Discrete(2)\n",
    "        self.seed()\n",
    "\n",
    "\n",
    "    def seed(self, seed=None):\n",
    "        '''\n",
    "        设置seed\n",
    "        '''\n",
    "        self.np_random, seed = seeding.np_random(seed)\n",
    "        return [seed]\n",
    "\n",
    "    def step(self, action_101):\n",
    "        '''\n",
    "        每一步博弈：\n",
    "        1. 检查输入是否合法\n",
    "        2. 统计选择1的人数allpick，allpick不超过env_max则1获胜，否则0获胜\n",
    "        3. 返回S(玩家本回合动作), R(所有玩家的奖励列表), done(False，无尽博弈)\n",
    "        '''\n",
    "        assert len(action_101) == 101\n",
    "        assert all(map(lambda x:self.action_space.contains(x), action_101))\n",
    "        allpick = sum(action_101)\n",
    "        reward_101 = []\n",
    "        for action in action_101:\n",
    "            if action == 1 and allpick <= self.env_max or action == 0 and allpick > self.env_max:\n",
    "                reward_101.append(1)\n",
    "            else:\n",
    "                reward_101.append(0)\n",
    "\n",
    "        done = True\n",
    "\n",
    "        return action_101, reward_101, done, {}\n",
    "\n",
    "    def reset(self):\n",
    "        '''\n",
    "        重置环境，每轮第一次博弈给所有玩家一个随机状态\n",
    "        '''\n",
    "        # return [0]*101\n",
    "        return [random.randint(0,1) for _ in range(101)]\n",
    "\n",
    "# Qlearning智能体\n",
    "class QLearningAgent:\n",
    "    '''\n",
    "    Q-learning智能体实现\n",
    "    '''\n",
    "\n",
    "    def __init__(self, env, gamma=0.9, learning_rate=0.1, epsilon=0.1):\n",
    "        '''\n",
    "        Q-learning智能体初始化:\n",
    "        env 智能体的博弈环境；\n",
    "        gamma 折扣因子，n步后的奖励为 pow(gamma, n)*Rn, gamma越大表示越重视长期收益。\n",
    "        learning_rata 学习率，Qlearning 更新过程为:Q(s,a) += learning_rate * (R + gamma * Qmax - Q(s,a)),\n",
    "                      学习率越大表示越不依赖过去学习的结果\n",
    "        '''\n",
    "        self.gamma = gamma\n",
    "        self.learning_rate = learning_rate\n",
    "        self.epsilon = epsilon\n",
    "        self.action_n = env.action_space.n\n",
    "        self.q = np.zeros((env.observation_space.n, env.action_space.n))\n",
    "        \n",
    "\n",
    "    def decide(self, state):\n",
    "        '''\n",
    "        epsilon-greedy策略，另外Q表所有值相等表示智能体还没有学到任何经验，这时也鼓励探索。\n",
    "        '''\n",
    "        if np.random.uniform() > self.epsilon and self.q[state].argmax() != self.q[state].argmin():\n",
    "            action = self.q[state].argmax()\n",
    "        else:\n",
    "            action = 0 if np.random.randint(self.action_n) < 0.5 else 1\n",
    "        return action\n",
    "    \n",
    "    def learn(self, state, action, reward, next_state, done):\n",
    "        '''\n",
    "        Q(s,a) += learning_rate * (R + gamma * Qmax - Q(s,a)\n",
    "        '''\n",
    "        u = reward + self.gamma * self.q[next_state].max()\n",
    "        td_error = u - self.q[state, action]\n",
    "        self.q[state, action] += self.learning_rate * td_error\n",
    "\n",
    "def play_qlearning(env, agent_101, episodes,render=False):\n",
    "    '''\n",
    "    Qlearning智能体一次游戏\n",
    "    参数:\n",
    "    env: 游戏环境\n",
    "    agent_101：101个智能体列表\n",
    "    episodes: 最大轮数\n",
    "    render：是否图形显示\n",
    "    返回值：\n",
    "    episode_reward\n",
    "    '''\n",
    "    episode_rewards = []\n",
    "    episode_actions = []\n",
    "    # 初始化S\n",
    "    observation_101 = env.reset()\n",
    "    for _ in range(episodes):\n",
    "        # 各智能体根据环境选择动作\n",
    "        action_101 = [agent.decide(observation) for agent, observation in zip(agent_101, observation_101)]\n",
    "        # 执行动作后得到环境奖励和新状态\n",
    "        next_observation_101, reward_101, done, _ = env.step(action_101)\n",
    "        # 为所有智能体更新Q表\n",
    "        for agent, observation, action, reward, next_observation in zip(agent_101, observation_101, action_101, reward_101, next_observation_101):\n",
    "            agent.learn(observation, action, reward, next_observation,done)\n",
    "        # 更新状态\n",
    "        observation = next_observation\n",
    "        # 上面是Q-learning完整的一步，下面是数据统计\n",
    "        # 统计动作\n",
    "        episode_actions.append(action_101)\n",
    "        # 统计奖励\n",
    "        episode_rewards.append(reward_101)\n",
    "    return episode_rewards, episode_actions\n",
    "\n",
    "def moving_average(lst, N):\n",
    "    '''\n",
    "    计算移动平均\n",
    "    参数:\n",
    "    lst: 输入列表\n",
    "    N: 窗口大小\n",
    "    返回值:\n",
    "    res: 移动平均列表\n",
    "    '''\n",
    "    res = []\n",
    "    for i in range(len(lst)):\n",
    "        l = max(i-N+1, 0)\n",
    "        r = i+1\n",
    "        res.append(sum(lst[l:r])/(r-l))\n",
    "    return res\n",
    "\n",
    "def density(lst):\n",
    "    '''\n",
    "    将玩家决策原始数据转换成密度数据\n",
    "    参数:\n",
    "    lst: 玩家决策原始数据\n",
    "    返回值:\n",
    "    res: 玩家决策密度数据\n",
    "    例:\n",
    "    输入: [1,1,2,3]\n",
    "    输出: [0,2,1,1] + [0]*98\n",
    "    '''\n",
    "    from collections import Counter\n",
    "    res = [0] * 102\n",
    "    tbl = Counter(lst)\n",
    "    for i in tbl:\n",
    "        res[i] = tbl[i]\n",
    "    return res\n",
    "\n",
    "def variance(lst, N):\n",
    "    '''\n",
    "    序列转为方差序列\n",
    "    参数:\n",
    "    lst: 输入序列\n",
    "    N: 计算方差所需元素数\n",
    "    返回值:\n",
    "    res: 方差序列\n",
    "    '''\n",
    "    import numpy as np\n",
    "    res = []\n",
    "    for i in range(len(lst)):\n",
    "        l = max(i-N+1, 0)\n",
    "        r = i+1\n",
    "        res.append(np.var(lst[l:r]) if l else 0)\n",
    "    return res"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 实验过程\n",
    "\n",
    "1. 基础测试：gamma = 0.1, learning_rate=0.1, epislon=0,1, 博弈3000次，观察玩家收益和动作"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "玩家总收益\n"
     ]
    },
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "选择1的人数\n"
     ]
    },
    {
     "data": {
      "image/png": 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IAFZGxWpU1g8siBx4/WC91oJ42zJoUq1X5I8t2mZb11rxGpHcCBx/endDp3KoRrrH5w0dpKUxWgVWKfqJVRojLWKkTKxjIK+tjIzuNQ2ttko/Wt6zTO+d/H3+pk7to8HaWt/vMG7xv7AUVbh6/WT8ZPN+fLm7GiJajtqapnj7i70AgJeX7zYr8ZqGFqzbW2Mb07C24p5avN38++GFW2z/srJS33a9ZdnG0oP4ZHPoKtLVJaEUzeur9tg+24G6yM9pTe8993mosjDHG8JaYjUNLXjiE+24M4LdPz/WHnfUm/nLvI1oaVPYXencQ6xpbEVGshYADlo+oxEwOjp+n/xkOwBgR0W9WbHkZwQi1jPSEEYr/w69IWWkUK09pJ36361t7ahtajU/+z8/3ob73w8dc8bycNmpSfq2QwHAqfo3YoJRloaFG8rNY9UYuzFSV0u3V2Dx1gPYWl6HxVvtVxIbAaCzA91Gz9SosMNfZw3aW8prUdNgPQadMw/WVrtxiIcHf6NcHl5oH/AOTwElYu5MrwgA1pPdOKCtleH/PVVsqxCN1k+lpWLZsj9U4CWV9Tj1Twvw//67zNY932cGF60gv9hdbWvJ/+DfxXh80TZUN7TgGw99gg37tIExo5Xh84QOU2ue+3evr8GMBz/B1D/Ox7S7P8CyHZVYtGk/TvzjfPMgtL5Pc2s7zr3/I/M1r+qf7eXlu3Hbq18CAAoyghHldPfb6/DislAl7PUIvvPoYnzzoU9wo+VK4S2WgaQfPbMcT326HT9/cRUeX7QN//eUPde980A9ZjywCHuqGjo1zeyaf30etYtd39yG9IAPNY2t2F/bjKG5qQCAfy/ejq8/sAjt7Qofb9K6v9YtOA3+f+2BRebYgHX6IwAzAGQEfaiob8aqXVXmVEkAeGaJvfXVrqcpvvVwZA9jT1VkBXrjM85XXRst6PABzBrLAHJ4Omv8He/hqieXAgBueHo5HrQ0aKwDgcZJv3BDGS55ZLH5XRxsaEFG0If0gA9Lt1Xg/ve1Xp0xa6m0phF/fHtdRE958ZYDOP3PC83ceVt7u5mu+O9nOzHlD/OxYEMZLnl0MRasL7Ol0KyMqcZlNY3wCDC6XwaeL96FGQ8swqQ/RM6A+nK3fTzk6ieX4vQ/LzR7YTc+u8I8JzdZKkmPQw/giilDHPcJAIr1xoIxLhLt2D3jLwtxzn0foXh7BSrqmpESNoZw5l8/dJwA4hS4r/3PMny0sRwrd1Xh7Ps+NI8H47PUNLYgM8WPAZnJqGnU6pBXVkRvNK3ZU4OT7vnANvDr84j5PYWXZXdcX9MrAoCVUVFao+n760px83MrzcfGl25tyRmVXnrQh8+3V2DHgXq8/eU+VNQ1Y0Bmsm3b1qCw0TKjY97aUsx+cy12HqjHip1VeF5v/Rktr+a2djMdVGo5ef/16Xas2lWFA3XN2FPdgEWb9mPhhjJzXjxgb6mV1jRi/b6DWLWrCnuqG81KEQjlD8MPVMBe0QDazIgl2yqwfGcV3rDcK8jasnpz9V7c/voavLisBLPfXIv315XatvHKit1YVVKNpdsqIk6io/tlYPaMMbZl89eXYU2UfG1DSxumDM+xvR4AHlywBatLqlHV0GIGTmuQqqyLDABf7q7Bh3qqIXzgzwjIg7JTUN3Qgt+9scZ8Lj3owwcb7P+Coq1dYV9No+M8d6exmffWlkYsA0IDruE5f2vqrrK+xZbyqmtuw8IN5VBKYe4Xe81UBmCfcWN8Z3fOXYel2yvMlEtNY4vZAwBgtrCNymBvdSMe/XArHliw2dZzmf3mWmzbX2dWLgcbW7HbkgrbV9OIV1fsxtJtFbjhmeVoaHFOhRmt5n01jchNC6C/fi6tKql2HPsIn421YEM5tu2vw6ayWmwtr7Udp9axiHaHRoXRU3Cyr0b7LNYUkNPEjK3lddhQehC/efVLVNa1YOrwHNx0xgjz+c1ltbZyMUQb17n99TX4/RtrsLG0FvPXhY6zjzftR02Dlq5LD/pQUdeMFTur8OPnQ2nTyrBtPrt0J0oqG2w936G5qaiqb0ZjS5utjgG6JwDEezvohFDQWvXVDS2hAODQKtxf24TctIBZkMbUMCDUVU0L+LClLLS8pLIeEwZnYXdVg7ntSksLzpoqMBgH0ntr9+G2C482D7JdFQ1mt+vRD7fikomDMExv5QLAiPw0VDe04L73I3PvTy/Zie9NHox/frTVHIyLJVqLLBalFESkw5lP7e0K97yzHpvKas102JbyWuSH9Tr+8I2xGD84C7e9tsa2/K6561CYm4qm1jbMOneU+bq6plYMzk4x1zu6bzrmrt5rPq6sbzbzmOv3hQJvSZT0x5yPt+KTLfsj5ngbPYBBWSlYs6fGTP8BwLC8NKwK66qv31eDO+c656N3O/QAAOC6/yzDny851rasrqkVSqmIE9l6rF715FIMz0uL2N6Pnw81YC577DN8b9IQc+AVCAWAkX3TsbmsFn95byPe6b8PVfVapXIwLPgblYF1HOySRxZj7IA+6JPsj5jUUNPYGjFuZaQ0lIp+vFXUteDN1XvwQnEJjhnYBwUO6aPOaGhuNQd/AaBvRhBbyuuwYmcl/rN4B/r2iezxxgoAcz7ahmS/15wM0NzaHnM8r7apFU2t7Rg/OBM/OXsk0oI+/OEtrdfY1q7w/OdGXt6DjaUHsSTKTJ6c1CSz4bmrUgvgU4fn4LOtB3DcoExkJPuQ4vfZxp0eWrgZ1582Ajc8szzq/hkKMoLYcaAe2/bXRaR4Ys3Q6qpeEQAAmAMoxqyOmobIL3Nj6UHkpgXMwbgNpQdRfrAJeekBLN6y33ydtQVcWd+CwTkpCPo9jj2ADzeWm8HHYBR0SWUD1u87aJ4ci/TR++mj8jF/fRmeW7oT158Wak0k+73ICPqjVmj//WwHXl3ZuYGb2rDBSa9HbLnCJJ8nopta29SK9KA/5owjQJs58ehH9vzilvJaZKXYTzinkxIAFm89YKa2huak4sbpRWhrV2hqbTenggJAUUE6PAIYu11Zp7VsUpO85q0bANi60lYrdlZhxc4q86IvQPt+jbzv+MGZeGfNPmy1NASGZKdEBIAHF0S/hcJeh9YfALyzZh/OWG3/d9btSuuZllpmgGUEfbbeakllg+P3b/3eP9l8AKlJPpw5ugAAkJuWZL6mSU9PLttRafZYMpJ9WLHTXnk3OVwUtKqkGqtKnKekVtU3R8xcMy8wg7JNvrCqrG/GPe+ErkQ2eiKHqr65zRYATirKxUvLSnDTcyuwq6LBsbLPSQ0Fm/SwMZB1e2tw3X+XIy9dW6elg+tzaptaUdvYiiz9fdICoWOquqEFv/zfFzH3X0QLlLurGswG4XtrSuHzCC6eOBCfbjmA1burMXFIFlKSvLZrRe59ZwMmD83Bp524u2l+RgDNbe22zIR1PxOt16SAjAPQOLnD0x1AKIVTqefylAJ+9uIq3P/+RqwqqUaKXrGs33cQlnQ9clKTzMj6h7fW4eklO838NABcOmmQ7X2st1h4b02prTLOTUvCnCsn4tSj8vDe2tKIQbhKhwtczhpdgPSADys7OV/8N69+gZeXl6AoPw2Th2YDALyWHGl60IcbTx8R8TojleKUUrEKn6c/Ij8N6/ceNPPLhry0jlt7768vw4qdlWa+PjUpVEHkpgXMExTQAm9jSzvOGdPXXOaRjqezVVpadjWNrXhGn2Fxxqh8W8ABcMgt1L1hZfHkVSeYfzc55JWvf2aZLRD3z0xGhcNA8pNXnxCxzKqmscXsSYzqm+HYOzVkBP0RrXdruiPZ78X93zku5vttLa9DtDuZNLa0Y+l25xbvHEtDYUt5bUTDJJx1nAyAeZ7944PNKHZIwRkXaDrdysMaFH59wdG2hoDBCGrNbe0RPTOrqvoWtLYrZOuNnNRAKK34w/9Ev6I+XQ941506HD8/ZyT2VjeaddO+mkacODzH7PU2t7YjI+hHRtAfUVn/9AWtB7jwZ6dFfS8gNPa3dk9NxMSosm64xUqvCQBGi9CIrtYeQH+9JWrMvKmoa8bU4Tk4uSgXy3ZUmnnRSyZqFfm2/XWYNiLXfH2WHgDeW1tqHtDtSmHGcf0xIDMZ3xw/EH+7NHQC7dRzs5kpfry3dp/tKtFJQ7Ph9QimjcjBjgP1tkj96wuOxm0XjsaovukY3S8DN+q5xobmNhT0CUZMW43mv5/tRLsCUgM+/PK8URiQmYxjBvYxn//LxcdGTB0DQtMUKxwqEevJs11vMU8YnIkLxvXDKUV52Lq/LiLo+vTUy73fPgZF+WkYlpdqjqcYVu2qwjce+tQM4NZ8fVaK38wZA1rl1tTahrz0AK6aWoibpxdFrZRGFqRHLBs7QBtTWLihHB4B+mUmY+aJheibEcSovum4fMpgx8FzIDRxAAAuPn4g8vXAtCesBzA4J5TC2mHpWUwZpgXi8JRhvz5B83gxnHl0PqZaxkKc1DS0oqK+GUk+D4bmpppBObwSM777331dG4sxesrWGSFpQV/EOEk4pytMgcgKO5qi/DTc9Y1x+P60oRiWl4pRfSO/H0Arv999bbT5uFAvTyNd+99rJqMwJwUzTyy0vc7pNgc5aaEAUNAnGPNGf02t7Y7HvaFvRhD9+wQxYUgmAC1VbIjVc7ho/ADkpwcwZVgORvfPiHj+lKI8W885I9mHjOTIQFXb1IYLj+mHwtxUs1HnxDguP9q0H8NyU3HnRWPN57rjdu29JgVkMFoY1rzqKUfl4c3Ve7GvuhHb9tdh/b6DOGZgH9z77WPN+/QAWuX8r0+3A9CCgTG4mp2SFFEx7DhQjw9/frr5eGTfdGSmJGHmE0vx1KfaQOx5Y/vi2aW7kGs5EHP1VnE/fS71XXPXAQAW/fJ0DMzSDvZ3bjkFALB0WwX+8cFmNLS0oSAj4HgSjshPi3pypgd9mDA4C5/MOgNX6zNJ5lxxPM4e0xcLNkRezFO8vQLLd1Q6bq8gI2i2pI2u/w2nj8D0owsw56PIFMm4AaGAc8nEQWZw/dEzy7G7qgGTh2ZjS3mtOc12/nptQMw6eJ2dmoTheWlYoU8tPKD3AAJ+L249/2gAwN8cpqr+7/9NxSeb92PDvFBwvfSEQbj7W8fgtZW7cfNzK5Hs9yIt4MPPzhmJn50z0lzvjSj/OOe+7xyLfy/egYUbyjFtRC5mXzQWo257B3vC0mV9LcfJk/qx9ORVJ6ClrR2fbY1sJWenBiKu8XhsZuzWPxDqAWSnJKFvnyBqGlvR0NyGivpm5KcHUHawCScX5eI/10w2X3Pz9CL8bf4mfLC+1DYn3O8Rx0kDVkZDZWBWsi1FdfaYAowsyMB9729EktfjeD+oj39xOgZZxnY++OlpAOB4ncPwvDRcNW0omtva8Ye31tt6gDdNL8JJRblY+PPTO3X7bWvFWpAejHqtxMCsZDS3tuMp/fty8tmv7P+kMDyVlZsWcJz6/NuvjcZsvRJ2GoQtKkiz9VQygv6I7+LyKYNx50XjzMfP//BEXP/0Mrz1ReS9f4zbqazbW4MfnjoMl08ZggFZybj6yc8j1k2EXtMDMBiDOtZBrytPLER+RgBlBxtx++vagOTIvlo0Hj8oCzmpSbj+tOEYkZ8Gr0cwKDsZJxeFegD9MpPNXoTh+9OGRrx3Ub42eGfMCrjwmP4A7NcSGAelEVCMbll+emTLc4S+vcsmR2+ZHjcoU3+vfhHPWafGfXfSYADAWL1iPneslkax9gzunLvOnL99QmGWufzaU4bZTibjikUjH+q0b788d5Tj/hqtm4xkv23g8NaXtRxqWsCHn5x1lLZO0G9LtRnXYQT9ocPOaFlbpQd95r5ZlwHA6aO0vPxtF46OeB0QfdxieF6a2doN+r0I+r3ok+zXApJlMNZaMRgVztDcVFuLMdnvNb+P8JTTNyeE/k1fetAXtWKuaWhBRZ02bdAo/z3VDahuaMFpI/MAAJeHTYM0yuD7/yrGjgP15nUgXq8gJSl2W844TnPC0noFGUEMz091egkmDslCblqSrfJ3MuO4/ubf4QPg1vLMsKTrfJ24dYO1zPv2iR4AhuelYeWuKny+vRI+j0T0apxa3GlhAWBAVuTFcYD9JnNBvxcXjOuHY/Vz1njvjGCoxZ+VmhTRA8h+fMaiAAAUlUlEQVROiRzfsPZIk/1eXHz8QPNvw8kjtOOgMCcVPo+gX59gzKmxXdH7egCNoRRQTmoSin9zJkQEfTOC2FxWi23763D5lMG45iStAvd4BMtuO8t8/ZrfnwOfR2yV57gBfbBhXyj9su2P50Mc5h33z0w2W1kAHLu5RrS3thRfuX6q40VZ2alJ2H73BQBCXXDrgPP62eficf3CtR+cPAxXTBmC71iuXrRe+Xn2mL7mtgDg1KPysP3uC3DjsytsFzoZzh3bDy9eN9V8fI3l6knjroPhwcwQrXwAmAd7RtBvzjG3KsgI4uwxfXHT9CIAsPWejNZ5wBc6yJ+79kTzugLjqsfUgC/ipDEqsIyg31YO4fpGCbQDs1JCV17qFcmpR+Xh9VV7kJzktc2w2H73BWbrdvaMMSjMTbX1SNfecQ5EBH/85jgs3VaBh/T79G++6zxbxfbF787BRxvLceUTSyP2p6axFQs2lGHy0GxznzfuOwiltLn2Tp8xvNWanx5ASWUDfB5Phz0AQ3ogfMwkiGG5WqUdPhXzwcsmmCmJWP526XhMP7oANz27AsPytGBiTAe17pdTaiSafn2CCPo9EAH8Hg+yUvyOU0VTkry29/j812fi5HsXmJmECYMz8fwPT4x4nbURAmi9CGPywPrZ52LUbe847teDl00AEOr9DMhMhscScIblpkbM2HL63EaDcVhuKub/9FSICP508bHmRa4AkJuunQNDc1Px5e/Pgdcj8Hs9mH3R2E5dZd4Zva4HYHxxu6u0mQFGRVSQEcTG0lq0tClcMK5/1NcH/V74vB7zSxk3oA+8HrG1TKJVboB94ClgaekZLVmjZWq9mnJklHyoVaH++jGWPGLA50FhTiqSfB4Myk6JOFA6GnBzYlRy2an2bVlzxMZ8dqOSDa80Y5VPRrJWgQT8HnxjfOQ/pQ5vgR83KNQTMd43/OQTEYgIvjdZK+vMZD+y9P03WudjHPKvToyUw6lH5dmWez2C00ZqvQfjuzx/nNbryk8PmBVXuNH9tR6WtfK1ls/xQ7TPd3JRrmOrNuiPXjG3tSsMyEw2W5/GLRbCp+ManAKA8dlSO+gBAFq+P7yhkp8eMMvjkhPskyFSA76Yx4K1gTRI/wxG6tDomU4eGhoLsbaUo23HcP3pIyAiSPF7kZ8RgIg49gBSAz6zlX7SiFxkpSbZjsuzLRMOrDLDGhgDLWNVQb83IlCGG6KPbXjCehvD89PQJ2ywOuDQODTOk/rmNlsZW48Xa3kF/V5bb2T6KPsMta7qVT2AoN+DuqY2lNY0YuGGclw9rdB8zloxD4zSXQu34razzIpvmMPcbCfWijLg8+COGWPwk7OOwnfmaOMMRqVp/aI66n4DwLcmDMTofhkYnJNi3j1QRHDe2L44YejpyE5NimhRH0oAmHXeKJx5dAFmv7kWH24sj7h61qmFaKQUrD2Alb89K2I922ssJ8Y93zoGEwZn2q4TyAlL3Yzsm46lv5qOg02tmP6XDwEAQZ9zpXjnjLG4ZXoRUgM+s4s8ODsFT/9gsm1KYCxBvxfFvzkT7Uph0l3alaqrbj8bgDaOMH1UvlnBnjOmAG/ffDLy0wNIDfgc51kP1wNDeMrA4PUIlt92VtQWuNPJb/X7GWOQ7PdiQGYyni/eBa9HcOIw5wHktID9PYxzwueRmIPA4wb0wRe7q5GR7DcrUWNaY2pAG0Be9psz0SfZj5+edZR5B9qUGMELAF69YZpZZuMHZ2HJr6abx9IZowqw9FfTbcHMaDyEmzAky3ZdyOJbzzDH2JKTfGYDxSkDlBbwmUGtMFerlG//2mjccmYR2pSKOpMtNy2Az399pnkH0n5hDZfPfjXdscdhePvmkx0HpYfkpETM3/d6Io8BI3UYfo5bz9tYPaaHLz8edU2tyL4n6iqd0qt6ADmpAdQ2teLke7WboJ09OhS9rQEgPD8cTVZqkllRG68P/6LDWU9kn97lyksPmLNcslI734218noEYwf0iWgFeTxidgeNHKmRF7cOxEZjtJ6OG5SJEflpmKy/tk+yvYzGOmzLaL0YlceAzOSIllE4o7WilHYtwlFhs3WcWsH5GUHbBWLRWsUej5gVhpGeOm5QJvLTg2bPpjNy0wJmADlpRK75t4jYKiQRwdH9MpCTFjDHBAxGpZNpThuMHuSzLcdZOKflRg55cHYKUpK0VrYxNfaEwqyox7d17joQaniMH5wVMwVk9FIygj6zUjN6VMasrpy0AHxej22MILx16/TZrGUWnkoM78lE6wFMHJJle9zPcrO67FS/OQZhjGtZezHGdHBAGygGYH6O/PRgzB6MdYDaqGyN8YPUgM8ckHWSkuSzfR5jnwI+r9k7MAx2GEMxyioiAFi+x9QY32mSz9PpejCWXtUDyE0PmAOwk4dm2wYIMy3dqlgFE8u8H5/SYaFZu9LWg8fIaVoD0cKfnZbQf0WXHvTj9R9NM2cGOV1RGu66U4fjhMJsTNIHuq47ZTgmDM7ClLBW5BVThmBkQTrSgj4E/V7zFteGd285xXZCRBPe5pk8LAfPXTsFl4bdeTGcfTCt4zLrn5mMV66fat5O4lAFfF68eeNJZurtUL1x40m2e/501BqOJvyzPvX9SWhXClc/+bmtvG+eXoRjB/XBhMFZ4ZsI7UPYce/1CF6+firG9M+A36GVGfR78N4tp+IV/TqL5CSf+b3//JxRSAt4HRsG3aVPlBbtxCGh8/ztm0+2Pffw5cebvc7HrzoBOw/U2+7p5POI+T0VdNC4i8UoW+sNHw/Fx7843Ryzswb9F354onluWkUbq7L2AGIFr0TpVQHAmj64aPwAWwFYBwW7WjBFDnPLw0XrSvfrE0R1Q4ttNk1XK5dYjhmYafvdEa9HbAeYxyMRlT+gldnkKKkFoHPjGICWnweAPMvgrtP7xRIrL241PkZl2BnxVG556faL2IzW8CF0RABEftZTinLNK8pHW4JbnxQ/ZhwXOaZiZfSCCjICKK1pQpLXEzNgnFCYjcE5KWavVSll5p6zUvydPsYSJbwHkBbwobapFYOyQy3+8IBvbQRlBP0YO6CPrRHi8Yh58Vy0mXadYfSmnAJpZ0R7b6fKHwj1cMOvgA5P3Xa3XhsAwg+WRHR3OiNaV/qp70/C8h2Vna68Ynn1hmnd+n+Qu9MF4/qhtqnVNt0RAJ75v8nITuvcd9RRXry3evKqE6IOFkdjHe/455UTISI4aUQu/vjNcY6D6LEc3S8Df774WJwzpgDz1pZi+tEFUde9/rTh+MHJwwCEKpvWdoU7ZozBtBG5MSv/t28+uVtuO5AWdtX2WzedjM3lByEi+Pf3J6F/ZucqcOu54/OIOU07Wqs6FuNcNMZGvF3sAYR795ZTYv4rWI9H8PjMiREp1GAXsxtd1bsCQJo1J2fftVg3hkqkaAO6BRlBnDcucq5+Vxw36PC2vBLJ4xFzZpTVVMuV1x1JRBDtCad3YeZFwJICOku/94+Icxl2xrf1+eLfnDAw5nrfGD/AbDQZ505bu0J60G9uI5qupt06Ej6OMzgnxbzy+pSwWVuxWNtOHhEzIOR2sgFiZZyLa/ZoU6l9XewBhNN61LF71U4B3NU9AOsAbUQPoIPByUTp7Hxq6rrOjAF8VfREb+emM0aYFyECoXMn2oVU3e3l66dGvYV4V1g/hdcjeGzmRLy7pjSuRqKZAkpQD6Crwu982916VQCw3mcmfApUpsONoLoDA0D3C0SZBvpVdDgG8sL95OyRtsfGFNaeCgATBmfFHKs4VNYUkNcjGJGfjhH5nRvDisa42eKhzDb7KuhVAWCgZTAoIyxf6Pd6cOkJg2x3kuwOnZnTT/E5UlNAvd2s80Y5/mvFAVnJOH9cX3NM4EgX3gNIhP6ZQZwzpgDXnTo8IduLxxVThuDEDm4mmCi9qraz3f/bYQ7u3d86ptv3IZHTOsnO+B8GLOPuEa3y8noED112/GHem+5jHQPwJqiH5fN68OgVExOyrXjNttwBtLv1qjPRmn9jJfHVc8fXxyDJ5+nydRxHqlF903HV1MKe3o2vjDss/6b0mpMjb+pInderegCHewCEDq9LJw3GpV2c/XIkM24PTolx5YmFuDLs/wlQ1/SqGtfnFYwf3DumSE7oJftBRNRd4u4BiIgXQDGA3UqpC0VkKIDnAGQDWA7gCqVU9H+5Y+H3ePDSdVNj3oTpcNh013m220kTEX0VJaIHcDOAdZbH9wC4TylVBKASwDWd3hmPmPe87kl+r8d108GIyH3iqmlFZCCACwA8pj8WAGcAeElf5SkAF8XzHkRE1D3ibWrfD+AXAIwbqecAqFJKGfc4LQFwaDc8ISKiw6LLAUBELgRQppRaZl3ssKpjQl9ErhWRYhEp7uo+EBFR18UzCDwNwNdF5HwAQQAZ0HoEmSLi03sBAwHscXqxUmoOgDkAEOhXdGTeGpOI6AjW5R6AUupWpdRApVQhgEsBfKCUugzAAgDf1lebCeC1uPeSiIgSrjum2/wSwE9EZDO0MYHHu+E9iIgoTgm5ElgptRDAQv3vrQAmJWK7RETUfXrVlcBERHT4MAAQEbkUAwARkUsxABARuRQDABGRSzEAEBG5FAMAEZFLMQAQEbkUAwARkUsxABARuRQDABGRSzEAEBG5FAMAEZFLMQAQEbkUAwARkUsxABARuVSvCAAeEcy+aGxP7wYRkav0igAwpn8GrpgypKd3g4jIVXpFACAiosOPAYCIyKUYAIiIXIoBgIjIpRgAiIhcigGAiMilGACIiFyKAYCIyKUYAIiIXIoBgIjIpRgAiIhcigGAiMilGACIiFyKAYCIyKUYAIiIXIoBgIjIpbocAERkkIgsEJF1IrJGRG7Wl2eLyDwR2aT/zkrc7hIRUaLE0wNoBfBTpdTRAKYAuEFERgOYBWC+UqoIwHz9MRER9TJdDgBKqb1KqeX63wcBrAMwAMAMAE/pqz0F4KJ4d5KIiBIvIWMAIlIIYDyAJQAKlFJ7AS1IAMhPxHsQEVFixR0ARCQNwP8A3KKUqjmE110rIsUiUlxeXh7vbhAR0SGKKwCIiB9a5f+0UuplfXGpiPTTn+8HoMzptUqpOUqpiUqpiXl5efHsBhERdUE8s4AEwOMA1iml/mp56nUAM/W/ZwJ4reu7R0RE3cUXx2unAbgCwBcislJf9isAdwN4QUSuAbATwMXx7SIREXWHLgcApdQiABLl6eld3S4RER0evBKYiMilGACIiFyKAYCIyKUYAIiIXIoBgIjIpRgAiIhcigGAiMilGACIiFyKAYCIyKUYAIiIXIoBgIjIpRgAiIhcigGAiMilGACIiFyKAYCIyKUYAIiIXIoBgIjIpRgAiIhcigGAiMilGACIiFyKAYCIyKUYAIiIXIoBgIjIpRgAiIhcigGAiMilGACIiFyKAYCIyKUYAIiIXIoBgIjIpRgAiIhcigGAiMilGACIiFyKAYCIyKUYAIiIXKpbAoCInCsiG0Rks4jM6o73ICKi+CQ8AIiIF8CDAM4DMBrAd0VkdKLfh4iI4tMdPYBJADYrpbYqpZoBPAdgRje8DxERxaE7AsAAALssj0v0ZURE1Iv4umGb4rBMRawkci2Aa/WHTSLyZTfsy5EoF8D+nt6JXoJlEcKyCGFZhIyM58XdEQBKAAyyPB4IYE/4SkqpOQDmAICIFCulJnbDvhxxWBYhLIsQlkUIyyJERIrjeX13pIA+B1AkIkNFJAnApQBe74b3ISKiOCS8B6CUahWRHwF4F4AXwBNKqTWJfh8iIopPd6SAoJR6C8Bbh/CSOd2xH0colkUIyyKEZRHCsgiJqyxEqYjxWSIicgHeCoKIyKV6PAC47bYRIvKEiJRZp72KSLaIzBORTfrvLH25iMjf9bJZLSITem7PE0tEBonIAhFZJyJrRORmfbkbyyIoIktFZJVeFr/Xlw8VkSV6WTyvT6qAiAT0x5v15wt7cv+7g4h4RWSFiLypP3ZlWYjIdhH5QkRWGjN+EnmO9GgAcOltI/4F4NywZbMAzFdKFQGYrz8GtHIp0n+uBfDwYdrHw6EVwE+VUkcDmALgBv27d2NZNAE4Qyl1LIDjAJwrIlMA3APgPr0sKgFco69/DYBKpdQIAPfp633V3AxgneWxm8vidKXUcZapr4k7R5RSPfYD4EQA71oe3wrg1p7cp8P0uQsBfGl5vAFAP/3vfgA26H8/CuC7Tut91X4AvAbgLLeXBYAUAMsBTIZ2sZNPX26eK9Bm2J2o/+3T15Oe3vcElsFAvWI7A8Cb0C4udWtZbAeQG7YsYedIT6eAeNsITYFSai8A6L/z9eWuKB+92z4ewBK4tCz0lMdKAGUA5gHYAqBKKdWqr2L9vGZZ6M9XA8g5vHvcre4H8AsA7frjHLi3LBSA90RkmX73BCCB50i3TAM9BJ26bYSLfeXLR0TSAPwPwC1KqRoRp4+sreqw7CtTFkqpNgDHiUgmgFcAHO20mv77K1sWInIhgDKl1DIROc1Y7LDqV74sdNOUUntEJB/APBFZH2PdQy6Lnu4BdOq2ES5QKiL9AED/XaYv/0qXj4j4oVX+TyulXtYXu7IsDEqpKgALoY2LZIqI0Uizfl6zLPTn+wCoOLx72m2mAfi6iGyHdifhM6D1CNxYFlBK7dF/l0FrGExCAs+Rng4AvG2E5nUAM/W/Z0LLhxvLr9RH96cAqDa6fkc60Zr6jwNYp5T6q+UpN5ZFnt7yh4gkAzgT2gDoAgDf1lcLLwujjL4N4AOlJ32PdEqpW5VSA5VShdDqgw+UUpfBhWUhIqkikm78DeBsAF8ikedILxjkOB/ARmg5z1/39P4chs/7LIC9AFqgRexroOUs5wPYpP/O1tcVaLOktgD4AsDEnt7/BJbDSdC6p6sBrNR/zndpWRwDYIVeFl8C+K2+fBiApQA2A3gRQEBfHtQfb9afH9bTn6GbyuU0AG+6tSz0z7xK/1lj1I+JPEd4JTARkUv1dAqIiIh6CAMAEZFLMQAQEbkUAwARkUsxABARuRQDABGRSzEAEBG5FAMAEZFL/X8LXCk0nxC8wgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "玩家总收益10轮移动平均\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 创建环境\n",
    "env = MinorityGame_1(50)\n",
    "# 创建玩家\n",
    "agent_101 = [QLearningAgent(env,gamma=0.1,learning_rate=0.1,epsilon=0.1) for _ in range(101)]\n",
    "\n",
    "rewards_0, actions_0 = play_qlearning(env,agent_101,3000)\n",
    "\n",
    "print(\"玩家总收益\")\n",
    "# 玩家总收益（仅绘制前500轮）\n",
    "plt.clf()\n",
    "plt.plot(moving_average([sum(reward) for reward in rewards_0],1))\n",
    "plt.ylim(0,101)\n",
    "plt.xlim(0,500)\n",
    "plt.pause(0.1)\n",
    "print(\"选择1的人数\")\n",
    "# 选择1的人数（仅绘制前500轮）\n",
    "plt.clf()\n",
    "plt.plot([sum(action) for action in actions_0])\n",
    "plt.ylim(0,101)\n",
    "plt.xlim(0,500)\n",
    "plt.pause(0.1)\n",
    "print(\"玩家总收益10轮移动平均\")\n",
    "# 玩家总收益10轮移动平均（仅绘制前500轮）\n",
    "plt.clf()\n",
    "plt.plot(moving_average([sum(reward) for reward in rewards_0],10))\n",
    "plt.plot([50]*3000)\n",
    "plt.ylim(0,101)\n",
    "plt.xlim(0,500)\n",
    "plt.pause(0.1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "2. 调整learning_rate，观测对结果的影响"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "玩家总收益\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "选择1的人数\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "玩家总收益10轮移动平均\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYAAAAD8CAYAAAB+UHOxAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi4zLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvIxREBQAAHJpJREFUeJzt3XuYXHWd5/H3t6v6fr+GTneSTkhCEkggJIQAinKRQWAUFUbQQR5kH1ZHXRV3RUdH1tlnZ8EdBXnWdWDFGRxZFAHl4gUhBIR9JNi5kns3CUk6fU36fqvuqvrtH3XS6UDn1lWdbvL7vJ6nn6rzq98553d+1ed8zvnVzZxziIiIf9ImuwEiIjI5FAAiIp5SAIiIeEoBICLiKQWAiIinFAAiIp5SAIiIeEoBICLiqeMGgJn91MxazWzzqLISM3vBzOqC2+Kg3MzsATOrN7NNZnb+RDZeRETGz473SWAzuxToBX7mnDsnKPse0O6cu8fMvgEUO+fuMrNrgC8B1wAXAj90zl14vEaUlZW5mpqa5LZERMQza9euPeCcKx/v/OHjVXDO/cnMat5R/FHgg8H9R4CXgbuC8p+5RKq8bmZFZlbpnGs61jpqamqora09uZaLiHjOzPYkM/94XwOYduigHtxWBOVVwL5R9RqCMhERmWJS/SKwjVE25hiTmd1hZrVmVtvW1pbiZoiIyPGMNwBazKwSILhtDcobgBmj6lUDjWMtwDn3kHNuuXNueXn5uIewRERknMYbAM8Atwb3bwWeHlX+meDdQCuBruON/4uIyOQ47ovAZvYYiRd8y8ysAbgbuAd43MxuB/YCNwbVf0fiHUD1QD9w2wS0WUREUuBE3gV081EeumKMug74QrKNEhGRiadPAouIeEoBICLiKQWAiIinFAAiIp5SAIiIeEoBICLiKQWAiIinFAAiIp5SAIiIeEoBICLiKQWAiIinFAAiIp5SAIiIeEoBICLiKQWAiIinFAAiIp5SAIiIeEoBICLiKQWAiIinFAAiIp5SAIiIeEoBICLiKQWAiIinFAAiIp5SAIiIeEoBICLiKQWAiIinFAAiIp5SAIiIeEoBICLiKQWAiIinFAAiIp5SAIiIeEoBICLiqaQCwMy+amZbzGyzmT1mZllmNtvM1phZnZn90swyUtVYERFJnXEHgJlVAf8JWO6cOwcIATcB9wL3OefmAR3A7aloqIiIpFayQ0BhINvMwkAO0ARcDjwRPP4IcH2S6xARkQkw7gBwzu0H/hnYS+LA3wWsBTqdc9GgWgNQlWwjRUQk9ZIZAioGPgrMBqYDucCHx6jqjjL/HWZWa2a1bW1t422GiIiMUzJDQFcCu51zbc65YeAp4GKgKBgSAqgGGsea2Tn3kHNuuXNueXl5eRLNEBGR8UgmAPYCK80sx8wMuALYCqwGbgjq3Ao8nVwTRURkIiTzGsAaEi/2rgPeDJb1EHAXcKeZ1QOlwMMpaKeIiKRY+PhVjs45dzdw9zuKdwErklmuiIhMPH0SWETEUwoAERFPKQBERDylABAR8ZQCQETEUwoAERFPKQBERDylABAR8ZQCQETEUwoAERFPKQBERDylABAR8ZQCQETEUwoAERFPKQBERDylABAR8ZQCQETEUwoAERFPKQBERDylABAR8ZQCQETEUwoAERFPKQBERDylABAR8ZQCQETEUwoAERFPKQBERDylABAR8ZQCQETEUwoAERFPKQBERDylABAR8ZQCQETEUwoAERFPJRUAZlZkZk+Y2XYz22ZmF5lZiZm9YGZ1wW1xqhorIiKpk+wVwA+BPzjnFgDnAtuAbwCrnHPzgFXBtIiITDHjDgAzKwAuBR4GcM4NOec6gY8CjwTVHgGuT7aRIiKSeslcAcwB2oB/NbP1ZvYTM8sFpjnnmgCC24oUtFNERFIsmQAIA+cDP3bOLQX6OInhHjO7w8xqzay2ra0tiWaIiMh4JBMADUCDc25NMP0EiUBoMbNKgOC2dayZnXMPOeeWO+eWl5eXJ9EMEREZj3EHgHOuGdhnZmcFRVcAW4FngFuDsluBp5NqoYiITIhwkvN/CXjUzDKAXcBtJELlcTO7HdgL3JjkOkREZAIkFQDOuQ3A8jEeuiKZ5YqIyMTTJ4FFRDylABAR8ZQCQETEUwoAERFPKQBERDylABAR8ZQCQETEUwoAERFPKQBERDylABAR8ZQCQETEUwoAERFPKQBERDylABAR8ZQCQETEU8n+IExqHKiDf712slshIifJ4YjGHelpOpd8L5oaAXAaiTlH98AweVnhE9opmrsHae4aIDczTG8kSlleJtXF2Rh2Clo7Pg5HXyRGKA0ywyHS7Pht7RwYYmAoRlqaUZ6XeULzTLS4c7T3DTEwHKM3EqV3MEpWeoiinPRT/hw4Em2JOyjICpMRTsM56BmMEneOnIwQmeFQ0utwDvqGouRmhOkeHCY9lEZOxuHlnug2t/QM0tE3xHDM0TcUZXphNsW56eRmhkmbIv+7Dkc05hiMxsjNCJ+S/zmHw8FR++BQm8IhmxL7+NQIgLJ5cNtvT/lqY3FHJBrjwVd2Ma0gi/a+CKV5mXz8/KqT2tliccdv32xiVkkOf/foOvZ3DpAeMu79xBKuWzKdjPC7g2BgKMaT6xr49m82A5ARSWNmaQ71rb1cWlTOP33sHKqLc46YZ3tzN6/VHQBgKBantTvCVYumUZCdzpzyXHa29OKcY3FVIeHQ2OHjnOP/1R/kj1ubGRiKcfb0Ah57Yx9mMBSNk5cVZv60fK5ZfAZLZxRTnJsxMm887nh2UyP3/n47jV2DI+VXLpxGVVEWF51ZxtXnnDHSJ89ubORAb4SdLT08vqNhpP6S6kL++/WLWViZj5mRZmBmRGNxtjR2M7Mk54j1HhKNxXl5RxtnFGZxTlUhzjnsKDt1LO54fkszy2uKqcjPIh5P7JihtET9P2xu5p7fb+Ptg/1HbMfbB/uob+2lMpLF9KJsqoqyOeuMfD7/gTPp6B/i/hfrWFJdyLVLKsnJSOw++9r7yc0MU5idzpPrGvjN+v1UF2fz+q52ls8q5tollVwyt4wDvZGR53RwOMbzW5p5te4AITN2H+zjjYb2kbbkZ4aJxh0DwzEAstLT+NLl8/jUiplj9s1oXQPDbN7fxfbmHupaeuiNRDnQG+GN3e3kZCRONDJCaQzF4gCU5WXSPTBMVXE237luEdODbR4tEo2xrSmxvA37Onl0x15ml+VSWpTBW229dLQNQ1ui7lWLpvEf3j+Hs6blU5iTfsy2Hkt9ay9dA0MsrCwY6etj2dHcw7+88haLKguIRGO8uK2VDfs6AZhTlssDNy8lHDLe2N3OjuYeLplbRkV+Jpv3d1HX2svFZ5Zx1hn5zK3IAxLP0bambkJpxtbGbrY3J/pyKBpn0fQC8jLD1Lf2ctWiadS39fLG7na2NXXTNRDlcx+YQ15wUnfujCIuqClh7Z52/uO/r+NAb4TKwiy+dtVZLKkupKY094hjRFf/MKu2t/DYG3uZWZLLDcuquejM0rE3+rPJhYg555JaQCosX77c1dbWHrNOPO74xV/2MTgcY83ugxzsHSInM8yKmmJuXD6Dxs4B9hzs59L55ZQcZQfZ0thFeV4mkWicz/18LVsau8esl50eIiOcxnVLKvnY0ipKcjOoLMwmO+PIUHDO8eymJh5bs5c/7zoIQG5GiM9cXMOPX35rpN6KmhLu/sgizp5eyLq9HfzTb7expbGbgeEY588s4rE7VpIZDuGc4+ev7+Ge32/HAR9bWkVeVpiBoRixuOOpdftHDgjHcsWCCv7llmWkvyMEnt6wn/te2MnbB/vJTg9hBv1DMSoLs5hRkkNBVpiugWG2NnbTNxQjnGb81dlnUN/ay572PiLROM7B4qpCbrloFj2DUX7wxx30DR1u01WLprGwsoA1uw/y+q72I8q/fvVZ7Gzp5c7HNzA4HB95rCArTF5mmLysMDtbesnPDDO7PBczo6Y0h47+YSryM9nU0MnOll7CacZtl9Tw1Lr9XDy3jJtXzGBFTQnhUBqrt7eyekcrf37rIHWtvVTkZ1JTmkvtnnYcsHJ2KTNLcnhqfQMzS3K46+oFXLaggq6BYcryMnHO8eCfdrGzuYdXdrYRicbpjURZOaeEoWicdXsTB5RZpTnMLstl94E+9owKkUPM4IKaEt7YneiDrPQ0hqJxllQXsbCygNfq29jXPkBJbgZD0TjZGSG+euV8zp5ewMaGTnY095AeSuMD88spyE7nxy+/xYvbWphemMWVi6axdGYR159XNRKAvZEoL21vpXtgmAdW1dHaExnp27L8TEJmLKwsIDOcRkY40ZbLFlTQOxjlj1ubGY45/vJ2O/3BczmvIo+Vc0r51IUzOdg7xH/+1UaauwdHtu26JdO5/5PnEUoznHO8Vn+AbU3d/Pmtg7yys424g4xwGt+/8Vz++tzpx/2ffadf1e7jvzyxCTh88H5ibQPr93bwNxfMYHZpLs3dg+zvGOD5rc0c6Bmic2DoiP+rOWW5XLO4kuLcDB5YVUfXwPDIY+khYzh2+NiXlZ42Mm9GOI0LZ5ewqaHriHkOyU4PjbkfVhVl0zM4TPdg9IjycJoxoySH3Qf6qCrK5rZLanh2YyMbG7pG6nzwrHKuWVxJ72CU7z2//YjtAPjrc6dTkpPOrNJcZpflsmh6AWv3dHDtkulrnXNj/SzvCXlPBEBL9yDf+vVmXtzWAkBeZpi5FXk0dPRzoHfoiLqVhVlcMreM0twMFk0v4P3zymnsHKCutYev/nIjGaE0SnIz6ItEueWiWbT2RLhhWTUDwzEiw3Gy0tN4fksLe9v7WLOrnWg80T/pIaOqKJuaslxyM8PMLc9jR3MPf9jSTGVhFh9aNI1pBVm8f14ZS6qL2N7czY7mHrY39/DE2gb6I1GW1ZSwtbGbroEhbrpgJlefcwYrZpe860C9v3OAe3+/nT9ubSYac+RlhensH+b8mUX88KalFOakY0AkGmdrYzcd/UPsPdjP3Io8tjf38MNVdWSnh/jEsiqiMUdj1yC5GSFWbWslPyvMnVfN5xPnVxMZjvPm/i7Om1lEXubhM6yugWHW7e3gd5uaWLW9lTPLc+mNxJhVksMVCyv4+PnVI2fS+zsHyE4PkZ0e4iu/XM/zWw4/RzevmMEXL5tHc/cgcyvyRuZp7xti1bYWmroGiTtHfWsvf9rZxlAszu3vm01T5yAd/Ymd+VCwFuWkM6M4h09dOJNf/GUfG/d1UpqbQW8kSiQapywvkwvnlPC7N5twLrHTXbGwgjcbuijMyeDS+WW0dUd4av1+inLSWTazmP9547lHPVmARMAD/HzNXv736nqGonG+dPlcphdl84/PbSUznMaZ5XmsmF3CcCxxtt7Q3s+dV82nNDeT7IwQ/UNRfrS6nh3NieDa2dLD7oN9LJtZzBcvn8ul88pxgAFpacc+m6t9u527ntxEa0+EnsEoNyyr5lvXLKR2Twf3v7hz5ISmujibr1+9gJWzSyjNyxzp9+PZuC8RPC3dg6zZ3c4bu9tHrhIq8jP5h+sWMbcij5rS3HedDI3W1DXA9qYefrS6nto9HUAiiC46s5SL5pTysaXVR70yGByO8eK2Fr72+EbOn1nMJy+Ywd3PbBk5EBdkhd91gD1vRhGxuONgb4R/vvFccjLDpIeMs6cXjtTZ3znAi1tbCKUZs8tyuXB2CRsbOumLxKgqzmZWSQ4bG7p4re4AG/Z1sLmxmwVn5PPpC2fS3pe4OppTlkvXwDDzp+WztambrY3dLKzMp2cwSl5WmKUzijAz6lt7GRyOkR5Koygnnb97dB05GSEuqCnhY0urmFGSMzJq0DUwzNsH+ni8dh89wXbNKc/lMytnccPyGexr7+ehP+3i1+v3k5MRGgnoQ/bce93pHQDDsTiXfm817X1D3HX1Av7qnDMozE4fOWC9srONrY3dzCrNoS8S5R+f2zrSkWOZUZJNOC2N//Hxxaycc5TLqkBX/zB/3nWQ/qEoO1p6eGVHG/1DMSLRGC3dEczgi5fN5atXzj/mztvSPci3f7OZtp4IGeE0vvnhBSydWXzcfhkcTpz5H3p9IDcjdNQhj9Fe3NrCI39+m1frDpAZTmNBZQH7O/qZXpTNg7cso7Iw+7jLGK+BoRgDwzGKc9JPqK2HxOOOoVicrPQjDyz1rb2kGcwpzztiHev3drByTimRaJxXdrby4J92sX5vJ++fV8aDtywjzexdyzo077EOXhMtHnf0D8eOCNzxLOP+F3fywEv1I2UFWWHu+cQSFlcVUlWUfdwwORF7D/azfl8HmeEQF88tpSDr5IZzuvqHuen/vE5ZXgZnFGTx7KZGBofjLK4q5L5Pnsd3n93CXVcvGBnO+8mru/nBCzsZGI4xqzSHJz9/MWV5mbT2DPL953dyTlUB1yyu5Nu/2cyVC6exbFYx+VlhSvMyk97WyRaJxmjoGKCxc4ALZ5e+a9i4Z3CYvMwwzd2DvNnQxeO1+3jf3DJue9+c0zsAXqs7wN8+vIYff/p8Pry48oSW55yjoWOA7c097O/oJy8rnfSQcfmCCvJP8p/4aPqHovQMRplWkJWS5aWac46dLb0U56RTMUXbmErOOZq7B5mWn5WSg997weu7DvLC1hYuqCnmojllSY23nyq/3dTEF/7vupHpivxMnvjcxfy3327lha0tXLGggtsumc2Fc959ZSzvZmanbwBsa+rmwz98lcxwGhu+c9WknrmJSGrc+fgGfr1+P5ecWcZr9Yk3NWSlp3Hnh+Zz+/vmnPCQlSQfAFPjXUBHsSoY8//2dYt08Bc5TXzvE0u4+7qzKcgO891nt9IbifKly+cyqzR3spvmnSkdAOv2djK3Io9bVs6a7KaISIqEQ2kU5iSGd/7rR86e5Nb4bcoOsm3c18mrdW0snVE02U0RETktTckA2Ly/i7/9yRoq8rO4/f2zJ7s5IiKnpSk3BNQXifLZf/sLBdnpPPH5iyb0LYsiIj6bEgHQNOprBX7y6m5aeyI8+fmLdfAXEZlAU2IIqDv4lN/LO1q5f9VOrl1cybJZx/+glIiIjN+UuAIYisX599f38L9eqmN+RT7f/5tzJ7tJIiKnvSkRAAD/EHwr5t9fs3DMj/CLiEhqTYkhoNEuPrNsspsgIuKFKRUA5fmZlOe/97/YSUTkvSDpADCzkJmtN7PngunZZrbGzOrM7JdmduxfrxjltbsuS7Y5IiJyglJxBfBlYNuo6XuB+5xz84AO4PYTXVCyP3knIiInLqkAMLNq4FrgJ8G0AZcDTwRVHgGuT2YdIiIyMZK9Argf+Dpw6PfLSoFO59yhX2RpAKpOZEGLqwqPX0lERFJm3AFgZtcBrc65taOLx6g65g8OmNkdZlZrZrUl6VF+9tkV422KiIiMQzKfA7gE+IiZXQNkAQUkrgiKzCwcXAVUA41jzeycewh4CBI/CFN8jN9mFRGR1Bv3FYBz7pvOuWrnXA1wE/CSc+7TwGrghqDarcDTSbdSRERSbiI+B3AXcKeZ1ZN4TeDhCViHiIgkKSVfBeGcexl4Obi/C9CAvojIFDelPgksIiKnjgJARMRTCgAREU8pAEREPKUAEBHxlAJARMRTCgAREU8pAEREPKUAEBHxlAJARMRTCgAREU8pAEREPKUAEBHxlAJARMRTCgAREU8pAEREPKUAEBHxlAJARMRTCgAREU8pAEREPKUAEBHxlAJARMRTCgAREU8pAEREPKUAEBHxlAJARMRTCgAREU8pAEREPKUAEBHxlAJARMRTCgAREU8pAEREPKUAEBHxlAJARMRT4w4AM5thZqvNbJuZbTGzLwflJWb2gpnVBbfFqWuuiIikSjJXAFHga865hcBK4Atmtgj4BrDKOTcPWBVMi4jIFDPuAHDONTnn1gX3e4BtQBXwUeCRoNojwPXJNlJERFIvJa8BmFkNsBRYA0xzzjVBIiSAilSsQ0REUivpADCzPOBJ4CvOue6TmO8OM6s1s9q2trZkmyEiIicpqQAws3QSB/9HnXNPBcUtZlYZPF4JtI41r3PuIefccufc8vLy8mSaISIi45DMu4AMeBjY5pz7waiHngFuDe7fCjw9/uaJiMhECScx7yXALcCbZrYhKPt74B7gcTO7HdgL3JhcE0VEZCKMOwCcc68BdpSHrxjvckVE5NTQJ4FFRDylABAR8ZQCQETEUwoAERFPKQBERDylABAR8ZQCQETEUwoAERFPKQBERDylABAR8ZQCQETEUwoAERFPKQBERDylABAR8ZQCQETEUwoAERFPKQBERDylABAR8ZQCQETEUwoAERFPKQBERDylABAR8ZQCQETEUwoAERFPKQBERDylABAR8ZQCQETEUwoAERFPKQBERDylABAR8ZQCQETEUwoAERFPKQBERDylABAR8dSEBICZXW1mO8ys3sy+MRHrEBGR5KQ8AMwsBPwI+DCwCLjZzBalej0iIpKcibgCWAHUO+d2OeeGgF8AH52A9YiISBImIgCqgH2jphuCMhERmULCE7BMG6PMvauS2R3AHcFkxMw2T0Bb3ovKgAOT3YgpQn1xmPriMPXFYWclM/NEBEADMGPUdDXQ+M5KzrmHgIcAzKzWObd8AtrynqO+OEx9cZj64jD1xWFmVpvM/BMxBPQXYJ6ZzTazDOAm4JkJWI+IiCQh5VcAzrmomX0ReB4IAT91zm1J9XpERCQ5EzEEhHPud8DvTmKWhyaiHe9R6ovD1BeHqS8OU18cllRfmHPven1WREQ8oK+CEBHx1KQHgG9fG2FmPzWz1tFvezWzEjN7wczqgtvioNzM7IGgbzaZ2fmT1/LUMrMZZrbazLaZ2RYz+3JQ7mNfZJnZG2a2MeiL7wbls81sTdAXvwzeVIGZZQbT9cHjNZPZ/olgZiEzW29mzwXTXvaFmb1tZm+a2YZD7/hJ5T4yqQHg6ddG/Btw9TvKvgGscs7NA1YF05Dol3nB3x3Aj09RG0+FKPA159xCYCXwheC597EvIsDlzrlzgfOAq81sJXAvcF/QFx3A7UH924EO59xc4L6g3unmy8C2UdM+98VlzrnzRr31NXX7iHNu0v6Ai4DnR01/E/jmZLbpFG13DbB51PQOoDK4XwnsCO4/CNw8Vr3T7Q94GviQ730B5ADrgAtJfNgpHJSP7Csk3mF3UXA/HNSzyW57CvugOjiwXQ48R+LDpb72xdtA2TvKUraPTPYQkL42ImGac64JILitCMq96J/gsn0psAZP+yIY8tgAtAIvAG8Bnc65aFBl9PaO9EXweBdQempbPKHuB74OxIPpUvztCwf80czWBt+eACncRybkbaAn4YS+NsJjp33/mFke8CTwFedct9lYm5yoOkbZadMXzrkYcJ6ZFQG/BhaOVS24PW37wsyuA1qdc2vN7IOHiseoetr3ReAS51yjmVUAL5jZ9mPUPem+mOwrgBP62ggPtJhZJUBw2xqUn9b9Y2bpJA7+jzrnngqKveyLQ5xzncDLJF4XKTKzQydpo7d3pC+CxwuB9lPb0glzCfARM3ubxDcJX07iisDHvsA51xjctpI4MVhBCveRyQ4AfW1EwjPArcH9W0mMhx8q/0zw6v5KoOvQpd97nSVO9R8GtjnnfjDqIR/7ojw488fMsoErSbwAuhq4Iaj2zr441Ec3AC+5YND3vc45903nXLVzrobE8eAl59yn8bAvzCzXzPIP3QeuAjaTyn1kCrzIcQ2wk8SY57cmuz2nYHsfA5qAYRKJfTuJMctVQF1wWxLUNRLvknoLeBNYPtntT2E/vI/E5ekmYEPwd42nfbEEWB/0xWbgO0H5HOANoB74FZAZlGcF0/XB43MmexsmqF8+CDzna18E27wx+Nty6PiYyn1EnwQWEfHUZA8BiYjIJFEAiIh4SgEgIuIpBYCIiKcUACIinlIAiIh4SgEgIuIpBYCIiKf+P5wh/5tw8RWAAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 创建环境\n",
    "env = MinorityGame_1(50)\n",
    "# 创建玩家\n",
    "agent_101 = [QLearningAgent(env,gamma=0.1,learning_rate=0.05,epsilon=0.1) for _ in range(101)]\n",
    "# 博弈\n",
    "rewards_1a, actions_1a = play_qlearning(env,agent_101,3000)\n",
    "print(\"玩家总收益\")\n",
    "# 玩家总收益（仅绘制前500轮）\n",
    "plt.clf()\n",
    "plt.plot(moving_average([sum(reward) for reward in rewards_1a],1))\n",
    "plt.ylim(0,101)\n",
    "plt.xlim(0,500)\n",
    "plt.pause(0.1)\n",
    "print(\"选择1的人数\")\n",
    "# 选择1的人数（仅绘制前500轮）\n",
    "plt.clf()\n",
    "plt.plot([sum(action) for action in actions_1a])\n",
    "plt.ylim(0,101)\n",
    "plt.xlim(0,500)\n",
    "plt.pause(0.1)\n",
    "print(\"玩家总收益10轮移动平均\")\n",
    "# 玩家总收益10轮移动平均（仅绘制前500轮）\n",
    "plt.clf()\n",
    "plt.plot(moving_average([sum(reward) for reward in rewards_1a],10))\n",
    "plt.plot([50]*3000)\n",
    "plt.ylim(0,101)\n",
    "plt.xlim(0,500)\n",
    "plt.pause(0.1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "玩家总收益\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "选择1的人数\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "玩家总收益10轮移动平均\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 创建环境\n",
    "env = MinorityGame_1(50)\n",
    "# 创建玩家\n",
    "agent_101 = [QLearningAgent(env,gamma=0.1,learning_rate=0.3,epsilon=0.1) for _ in range(101)]\n",
    "# 博弈\n",
    "rewards_1b, actions_1b = play_qlearning(env,agent_101,3000)\n",
    "print(\"玩家总收益\")\n",
    "# 玩家总收益（仅绘制前500轮）\n",
    "plt.clf()\n",
    "plt.plot(moving_average([sum(reward) for reward in rewards_1b],1))\n",
    "plt.ylim(0,101)\n",
    "plt.xlim(0,500)\n",
    "plt.pause(0.1)\n",
    "print(\"选择1的人数\")\n",
    "# 选择1的人数（仅绘制前500轮）\n",
    "plt.clf()\n",
    "plt.plot([sum(action) for action in actions_1b])\n",
    "plt.ylim(0,101)\n",
    "plt.xlim(0,500)\n",
    "plt.pause(0.1)\n",
    "print(\"玩家总收益10轮移动平均\")\n",
    "# 玩家总收益10轮移动平均（仅绘制前500轮）\n",
    "plt.clf()\n",
    "plt.plot(moving_average([sum(reward) for reward in rewards_1b],10))\n",
    "plt.plot([50]*3000)\n",
    "plt.ylim(0,101)\n",
    "plt.xlim(0,500)\n",
    "plt.pause(0.1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "玩家总收益\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "选择1的人数\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "玩家总收益10轮移动平均\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 创建环境\n",
    "env = MinorityGame_1(50)\n",
    "# 创建玩家\n",
    "agent_101 = [QLearningAgent(env,gamma=0.1,learning_rate=0.6,epsilon=0.1) for _ in range(101)]\n",
    "# 博弈\n",
    "rewards_1c, actions_1c = play_qlearning(env,agent_101,3000)\n",
    "print(\"玩家总收益\")\n",
    "# 玩家总收益（仅绘制前500轮）\n",
    "plt.clf()\n",
    "plt.plot(moving_average([sum(reward) for reward in rewards_1c],1))\n",
    "plt.ylim(0,101)\n",
    "plt.xlim(0,500)\n",
    "plt.pause(0.1)\n",
    "print(\"选择1的人数\")\n",
    "# 选择1的人数（仅绘制前500轮）\n",
    "plt.clf()\n",
    "plt.plot([sum(action) for action in actions_1c])\n",
    "plt.ylim(0,101)\n",
    "plt.xlim(0,500)\n",
    "plt.pause(0.1)\n",
    "print(\"玩家总收益10轮移动平均\")\n",
    "# 玩家总收益10轮移动平均（仅绘制前500轮）\n",
    "plt.clf()\n",
    "plt.plot(moving_average([sum(reward) for reward in rewards_1c],10))\n",
    "plt.plot([50]*3000)\n",
    "plt.ylim(0,101)\n",
    "plt.xlim(0,500)\n",
    "plt.pause(0.1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "玩家总收益\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "选择1的人数\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "玩家总收益10轮移动平均\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 创建环境\n",
    "env = MinorityGame_1(50)\n",
    "# 创建玩家\n",
    "agent_101 = [QLearningAgent(env,gamma=0.1,learning_rate=0.9,epsilon=0.1) for _ in range(101)]\n",
    "# 博弈\n",
    "rewards_1d, actions_1d = play_qlearning(env,agent_101,3000)\n",
    "print(\"玩家总收益\")\n",
    "# 玩家总收益（仅绘制前500轮）\n",
    "plt.clf()\n",
    "plt.plot(moving_average([sum(reward) for reward in rewards_1d],1))\n",
    "plt.ylim(0,101)\n",
    "plt.xlim(0,500)\n",
    "plt.pause(0.1)\n",
    "print(\"选择1的人数\")\n",
    "# 选择1的人数（仅绘制前500轮）\n",
    "plt.clf()\n",
    "plt.plot([sum(action) for action in actions_1d])\n",
    "plt.ylim(0,101)\n",
    "plt.xlim(0,500)\n",
    "plt.pause(0.1)\n",
    "print(\"玩家总收益10轮移动平均\")\n",
    "# 玩家总收益10轮移动平均（仅绘制前500轮）\n",
    "plt.clf()\n",
    "plt.plot(moving_average([sum(reward) for reward in rewards_1d],10))\n",
    "plt.plot([50]*3000)\n",
    "plt.ylim(0,101)\n",
    "plt.xlim(0,500)\n",
    "plt.pause(0.1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "不同learning_rate对平均收益的影响\n"
     ]
    },
    {
     "data": {
      "image/png": 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67YSiKBe0AQBpaWnK7t27z3l589at5E+b3mS6ys8P3yEXEzRtGobk5Cbz7eWVFP3fsxzON6KtPolD74de5SDKdJB233+Hytv7V9etKAoVn33O8d3FGE3F7FYPxKLyQbiddDg6j/DSPejCQnCWlqJr25aAK8eiiWiDcdilHNmQx6av8z1t1Qj8Q4xUFdcTmxLE4GuT8Qs2NlpXRaGJE4crAXA53dTX2EnoGoLeS0tAuBeVRWYUFMJifVGdEficVVWYt25FaLSofLypCupITnoZDoeb0BgfDq7NQ6k347Ta0erVhHeNJ7FHGBEJ/hh8tA31WI4c5fj+avbsdWCqtjdMj/SpJaB9FHG94mnbPRTwXBVm7SrBUmenssjM4a0nG8qHxfkyeHIyIdE+IDwHgu3oUeq2badOF06bMUPROs0AaAIDG7az5UgmOTvzUeccwpi7j8hXXkYTFIRitWLLzEQbHY0mONizfVxuctLLaZPkj7e/HsWtoAAqlcCWk8OhD1awvzIGs+v0No7vEkJNaT1VxfX4BOrxCTTgG2wgKNKbniPisJod7Pwuh7A4P5J6hjWcOGvLLWgNavReWo5uP8nR7SfRVRZQUq4iwJRLtF8NXV98AKuNhu/UaXeRva+MExmVCJWgptRCUVZ1Q1t0BjVut4LT7vZsB62KnqPi6TQwqtF30hxbvYPS/DoqC81UFpmw21xYau0UZVWj0atxWF2oNAK303PsG/102Ood+AYZGHB1O3yDDARH+TSq02l1UF5kpuxAHoXbszheFYQ3JnyigqmpdmM1OxrKJnQNoduwWIIivdFpFVzl5WjatEGxWrGfOIHt6FH07ZNR+/pQt2Yt1kOHCJp6HYaUlEbrrCo2YzU7CYn2aRykfkZFoYm9K/MIifbF5XCTe6CckpxaAALCjPRrX4l351QKDhRTWVBHwiWpeAd5UXaijsqT9UQnBxIc5U1ghOe4t+QXUmM3otjt5C1aSXWdCoddwVFnxrv8GOr6GsxeEUR6VVPvHUFdYh9qHN7YLC56XBqLzqDBbnUSFu9HZFIAhfsKWT7nEFanBr21isTCFSTdfS1thvVB43U6EFjNDvIOlJO+IY+AMG869Y8mKjmw2c8shNijKEpzv8p4Vv4yAUBxK2RsKaLSVE3egSKcNU50TjuRoprgHYuwGYMx3v4AUTE6/FOTsKSnUz5nDpbde3DX1+N3+eVY4roQ0COVutwclu5wIRyhza5L5bKhVgviolyE528haGBvwq+8FA0uTj72OMYe3VHp9ThKy8jNc5NVqKc60BNg1G47sXU/kOPfp6G+IFcJPaJL0WxbTlklHEsch8k3FpdKi19NNj0Pv4M20B+fIZeQY41kf3kbQBCjK0ZUlaL4BeLVuw+ZeytxOty/uj0jA60MTK1GG+iPac1aaleuBKeT4rA0cuIvx+IVhhoXKG5cQoveWoXRWo7GacGh8cIc2g6nQ0GlEiR0C6Wq2ExNqRmXww1ChW9dHlGFG3H7BXM8Yhgula5h3fEdfAlNDKYoq5rCzNMntLgkI12iq7AldGXtZ1mNPodOLxB1VWgc9Zi9I9G4rBjrSxBC4KOxYlcZ0VkqqdGEYvaORLhdRBeuoySyH8GOIiKOLMW/5jj62Gg0L3xC5tfbKcqtx2wMx+inxT9QR3FuHSAIdhahry7kZHAPjJZyErOXEJsSgGHoKAK6d0Tfvh0/rMynsshM3qFyXFYnDicEmnLAx5cqQgDw0TsIjA+mptJBbZmluR2WQGsBVcbYU/uUHUWtJSzBn+BoHwoOV1JbbsXgo8Vld6JRQ4+RUexQbaeztSum/SexHz6Ef+4OAi5KI8e/LyfynXj7aQjp5EVInBed+sXio/OcqO1WJzl7inC41Oz6Lof6Wk+A1ntpMPrqECpBSLQPaq0KtUaFy+kmLjUYu8lK5vKDuFxuymp1uE4NCvj7C2K6RJAyKJrCN95ld0UCNn1gw2drYz9OyqEPwVKPsXdvCnMt1KkCqQpoT0VQCggVKreTjoc/JrxsL179+mLPzsFZUtLsPisMBuLnf46hY0cADm89ydpPDgMQEO7FpdNTObztJCXZNXS8KJKAMCPmaht1lVay08upr7VjMzsa7VcB4V7ExalRjuwjo6oNTvXpYC/cThTV6QEQtVrB5fJctqtUCkHWE1SLYJzapheBare90T7/I4O1AqfOB6dK32i6SiXw8VaorQO9tZKYog2UJwyiWgQ3lInwqqHj+D44rC62f3O8yXGe1CMUTX0VgXFBBCVFEBrjy8njNbRLC//7BwBztY31nx8ld385AGqnBe/6YiyGYBw6v0ZlfQL1RHcIxOijIyTGhzYhLo7eeh91Lm8y2l+HcDvQOUw41QbanNzI/rb+dBrXne4hvXA7FdQ6FQfeXkJthZVq/3YoKs+Vh1BceOud6E8eQ+2y4lVfjNk7krLQ7hjVNhIHJODtryc2NZiwOD8qCk1UFJmoKDBzZNtJHDYXEYl+lOfXYTM7iHUfI8pYRVigE8uObWgjIqjfuxdcLug5kEP2ZEq926MINWqXBafWB7+abDrnLkRd69kObpWGOp9oHFofLMYQvM3FmHwiyY2/HJXLRpviHShaPc6oJIwRIZwocKPBQVLxGkKPrUbfqSum8A4Ee1vxig7Hq1cv8m+5FbtdwZI6iKouoyisNBAQZsRSUIzu5DHaDU8lLHcDXl27EHDVeEy1TqitouzJf7O7LoWy0G4AaDUKHXuH0LmDm6JPFsO6bxEuJ8E3TUc3ZCQH3/oKU6UVlX8ANSZBZVBHFIMX7UOrqT1Rgd0ucOuNVKjbeOpzW/D119Chmx9ZWU7Kih1o7XW4NAbcKi16lR3/4gOUhvbw9CrcLkIqDlAWHIuP201Q8T7c0YkUEI9WsRGRFMCw6V2oX/QZZa+/7tl5tFqCrr0WZ2kJ9enpuG12XBUVFEYOJC/+MtyoiM/7HoO1iqyk8ahwERCoJdhQiy07F3VCEjUna4nbN5+IqRNw3zIevdvAgVfWUXa4COF2UhEUhVsVSrC/g8RL/PF//lGcxZ6TolunYk2qm4uOCLwtbtQxUXh360Hd8uUoDgfVfm050nEKJqMvKrw4EroDV898plrGcnyrjWqHJxjobRUkHV9CqK+VuCdn4NPr588Ppa+/TsXsdwGo9Y2lJLEj2jotVd7xVAe0azhJGoSNLkH5+Hu7iLl+PMaocJzl5ZS+9hr1u3bj1aMH2tgY3CYz5Zv3UB/WnmPazlQqnpOcxmkhRJTRJs5I+7RQ1HUVmDdvwW0yEfHUU+RNmoSrtpbQp56mMrInaz49SkRbPzr2j2TTwkxs9U7PZ/PSNPz7R+EJfrhdCpY6O0Ov74hGr0aNG391HTnjr0JxOFANuJTK2L5gtxEQ6Ut4sJv8lbuo23sAI/UYqguo842jOr4P1UogdX6x+JhPEl29B4fOh4h/DCVqzBBsNjfBkT6UnzBRXlBHcLQPdosTjdOKbtdKKma9TZ3ig+Llh9+wIQQN6svqL0+ilJ8kRFNNt1tHEnpRNxShImtbAbUHjlC+J4t8JRanxgsAh6ac0tgMCmu/JcQczCDrtRQosahdNlzqxsHlrneH/r0DgMvl5tNHNlNfayMp6yv8q/ehXN6P+qQgPqhfg050xFGhpdZQzqTEa6lb743d4my2LgC0dZixEDvAyrgRVzBo2WWMiB/BU/2falTMUVKKtdpMSY2e4p3bqVi+i+qAjrgMPoiAYOpNLhDQfWAIlX1OYNQYGBo3tNlVmqttbJh/lPpaO2qNin7jEolI8OdQ+SG0ai3tA9sD4LZYQFFQeXmhuN3Ya8xYs7JwHkinatV6vJLbotLpcFvqqVu1GmO3rgRefTW+w4Zhy8mhdtky9G3bUqyO4dCOCooKXai1KoKjfKirsOAbZOCy2zrj7adFsVqbHeKyHDhI7dKl1K1ahaOw0HNPxO25GvEeNJDY99772U1ry86hZPYcqtdsQGOubBhOVvn44D1gAI6iIqz79wOgDgjAZ/Ag7Ll5nIg18mRsOiIkFKuo5+XBL9O3TV/AMwwghCAg3Ov0d2N3UZJdQ6ApG3VsWwoLnfywMp+SnFqCHSeICN7Mg+12M2GTjVG7FNQKBFw3hTaPPYbD7kKrazycYD16FFdFBcXPPIv9+HGETod3v36g1aBPaIsmPJzAayZgz83FUVKKJjQUx4l8Kj/5lPqdO09XJAQqLy8iX3mZsu6xTPpuEm7FjUalIdiuY+TaWi7ZacOl1qFx2TAZwMcKdUZYfJGKIfvdxJdCdjjMHaHG2TGBBaMXojPZqF64kDXmH4j5fCMBZsHOLqMwB41qWLXGUU+HzM/xrcvHYK1EcPq41gzqR9Qtd1C7ciXu+noCxo/HtHYdlsMZ1G/ewv7OPrw92EJMhWB/nEI3/1ReMk6hbs1eSosd+HTvQvJtV2Lw+uWhp5+ymh1889oPePnp8A7Qc2xXCU6Hm9BYX4ZPS2HToiz6jU0kNNYXe3EJmx+ey1Fdd9xqPXpVHQHXmhnVeyyKWcXGV1fiW3eC2BAr2/dCSPl+4scOIOzqsXgFejXsy67qasrnzKHy40/A6UTl60vC11+ji45qto2mTZswbdyEXQNbty5E2Bwc69WG+Ik30iGkIz3De/6mz+y22bBmZFBwx524qqoAUISgeFhnjk/uT9uoTlRYKpiQPKFhGcXppPLrJRz6bD7qUhcB1VmoFFejequCfLFfM4zwgybKMkoo7z2B6OQA+tw+7K8fAFK6dlYy9h1odt7SZ18iN78nnQ7OYV/MPrzvuZ3pfe9uVMbldtF/fn/GJI7hsb6PoSgKdRVWKgpN1FVaUesEm4o3sdAyl3JXCVM6TuHh3g8DcM/ae1hfsJ7PR31Oakhqk/V/lfUVT2x9gnYFCr0z3aztqqJt5wHEe7UlXNOGKb0m0uPTHgDc2+NepnWahviVu2AfHPyAlbkrOVRxiCifKN4Y8gbv7n+XrUVbGRo7lGcGPHMum7ERRVGoLDJj8NHi7a//9QV+urzLhWXvXurWrUfl5YXa3x/DgP58ZdnK9pPb6dOmD3m1eazNX0u9s57bu95Oj7Ae+Op8KassoH2xwLphM/qkRHyHD0ft74+zooLa5csRajW+w4ejBPrxTvo7zDkwB4DLEi5j58md1NnreH/E+3QP635Wba2wVLDw6CLM1Vbm5X2CCyd+Oj/eHf4uS/Z8xs4fvmP40Ju4q9e9v1qXq6YGxe3G6WvkpV0vMSh6EINjBjdb1m2zUbd6NYaUFHTR0QitlhpbDXm1eTy88WEKTAX0COuBWqXG5rKxv2w/ozTdyK7LI/5QBb2PKhzp4I3m2nFMSZlCZskh4tKL8Rk0mB/MR3ho40NckXgFYxLHsCJ3BYsyF9EpuBNP1Q7B9Z/XqPJPojykCyptMRvSCrGGaGivi2Zwr6vZXrWeDw99zbB0hQnbBBq7q0n7XRoVy7sr7BoRzz2XPE7/yP6sP7Ge+9ffT/vA9tzZ7U6ya7JJ8E9gYNTAX92vz8axPaWsmHOw4f9e/jp63BLMtsXHceV4YdJmEFSyhr4HM6n1crN2XDzDN5vxzy7DqdOgsTe9uPPq04fYjz7EceIEeddN9QwzCYHQ6YiYOZOA8eOaLDPv8DyOVx8nzi+OAVEDuHPNnRSaCpuU89P5cUPqDUxJmYJRY2wy/+fYcnIwHz3M3M2vs0tfxOHYxttu17W7MGg84/5mh5lPMj5he85G2u44weTNKgydO+N/zQT2fPcBy5Lr2cBRLFqFMfGjmfbiAezHjwOQcvTIXz8AeMX7K/W5NU2m5+86wv/mFoHbzoboR3ja10q7jlcionpAp/GNbrXftOIm9pfv54MRH5AanNpoZ7111a1sLdpK/8j+BOgDeCDtAcK8wgBIL03nxuU30imkE5+O+rRJG65bdh3pZekN/zdqjOjVelxuF3WOOgQC5YyrrfHtxpMUkMTA6IHE+cU1TLc6rTy+5XFyanLIrMoEoFdEL3YV72qyznt73MuNnW5EdY6PLSiKQr2znqe2PcWOkzu4u/vdXNX+qnOpyPNXCIrNxUxeOpkySxkGtQGry4pRY2RA1AC2F22nzlHXaNEuoV24p/s99G7Tu9mqTXYTk5ZOIrd8lU2vAAAgAElEQVQ2Fy+NF68PeZ1+kf2oslYxaekkyurLGN9+PDd1vqnhu2rO49/u5pD5S47ZvwOgf2R/Qo2hXJN8DZ1DO+Nyu7h51c0crz7OqIRRbCnawvRO07kk9hIMGgPr8tfxXfZ33JB6Az3CPYF8V/Eupq2Y1rAOnUpHkCGYWzvdz/gOI372RLgidwUPbnjQs8kQvDDoBS5LuOzUplTIrMokwjuCWlstG06s5x9JY/DV+Tb7Pdudbmase4ZVRYs8bVDruTRuOP+56D9oVVpKnn+BqnnzCHvoIQInXoPQaqm1Opjy/g5mBX9B9NGP2GXQc29YKD4WHe/FzMDP7MbQpQvOsjKWuvfzbN57jEu+iif6PdHoM63NX8s96+5p1J5PL/uUbmHdfvZ7+C1Wf5TB0R3FRCcHUnDEc5XsUNnZHbOMqvbZjEq8jH614WieeB3tyQpsGvhiuJHl3SGixI7FS8OMlLvx3nKAoM9WAKAJDcVZVgaA85JLeTbhMuLiInhqXGf0msY9vs2Fm7l99e1N2hXtE83/rvwfLsWFyW5iZd5K1uStYUfxDiYmT+TRPo82+93P2ZjNkn2FXD+sju4R7UkKTMKtuLl77d1sLNjIzH4zSQlOwWQ38dDGh6i0VvLWJW8R7h2OW3Hzwd7/sqJoMwDj2o3jyT4zGz9ZhOd4uWvtXewp2UN730TuaX8zHbIshI+7+u8QAHyV+ty6JtO/enIuJ4sTyAlZwMjkfIa5tZCz0TNz8MMw5NGGsmvz1/LvLf+m1l6LVqVFo9IwJGYIj/R+hIELB3Jjpxu5v+f9za7/nX3vMCt9Fjek3sA9Pe7B6RK8sSaLbNtKtlbP4eZOtxHrH8XsfbP54h9f4KvzBWDJsSU8vuVxAFaOX8kzO55hQ8GGhnof6PkA16deT6W1khtX3EhOTQ4AfSL68MYlb+BW3ExeOpleEb0Y3348GRUZ/GfbfwB4uNfDDI0dikEE893+IlYcKqFfYjBbj5cT5K1nYFIIE3rFNPksO07u4NHNj1JaX9owLcwrjOXjlqNV/7YuPJtegW1vQ/uRvOvrxVsFK3hp8EsMjx1OoamQMK8wDBoDx6uPsyZ/DZE+kSiKQnZNNl9nfU2FtYL+kf2ZNXQWalXjHXpL4RZuW30bd3S7g9u7Nj4Y00vTeXn3y2RUZBDmFcaT/Z8kLTwNjUrDO+nvUGGtQK/W88XhZVgUz/2QLiHdeH7Qs0T7RDc5SLcVbuO21bfjxoVKqHGf6l4bNUYsTkvDNlr8j8VU2aq44fsbqLJVNbtJJra7nsf6P9hk+raibdy15i6MWiM3d76ZEfEjiPCOaFpB4V6qVzyLd9FWjvZ9kdSh1zZpr93p5pGPV7LvWC513kWU44vLnEivuAg+urE33noNiqLgNtej9vEMfeSWmxk7awuxliN8q/83NYYo/Ifez5a1j3F7RBjBxhA+GvkR3x7/lqyqLNadWAfAl2O+bBiCPNPWoq0cqTxCnzZ9mPjdRDoGdSTMK4xnBjyDv96/2W1zNkrrrBRXWXlx9314eWsJT+9KtamW2Iu9GNVtGClBKQ3bw1lRQenCz3GktCV28CicipN5GfN4Zc8rDfVNS57K5PVubMeO4d2vH0dDE7hrn5NKs+cmeLswH6b2i6OoxsrE3uGsL1rGy3ueB+Dq9lcT5RNFuaWc3hG9SQpMIsa38TFldbgYMe82KsV22vn24KZ2z9M7IYiMolqOlZoI8dXzz/k/oPH7AWPUQlSoCdd2pVo5jMVpYUbvGVzb8dqG+swOMwPmD8CpNO7J9LVYmObQk2yMIOjK9yA4scm2y67OZvKyyZgdnifkjBoju6bs+jsEAB+lPtfUZPoHd3wAJj1Trt6L7h+nvnS3CxZeB0eXwtjZ0G1SQ/k6ex0Ljixgx8kd7CjeAYCf1ptah5l3B79G/zUvQcIguOSxRuvJrsnmim+uACDBP4EhQf/k7c3bMEYtwmVtQwflARbfcikqlQBLFai0oPfccCuvL+d41jL6xA1B8Y/GrbgpqS/h2R3PsqFgQ8NJRq/W8+aQN+kf1b/Rug8W1vDptjyeGJOCl07DxoKNzNg4o6F3oa+YTllpUrPbrUdsAH3aBnNNWgzx7nzKN7/KKMu+hpNagncUM/rN5NbVtzI1ZSoPpj149t14mwlebg8OM58HhfKcv5EexjZ8POxdqMr1bMefnNStDhcGrWea1WnlhV0vsDhzMXMundMwpv+jF7b/l8+OvsfWSVsbAupPHSw/yK2rbqXWXkuUTxT+en8yKjIa5rss0RgcKVjUWVwecx0v/+PqJnW43QrTPt7F+qOeG60JId48cKWVCmsZ+bX5CCG4JPYS/rn2n9hd9obenL2qN/aKwRgjF6FUXo6XiMTsNw+dTxYP93mIYEMgG0+sp8pWzciEy3hx14uEe4cz99K5BBqaeWTPXIGy9v8Qez5smFSm+HNn0HtclpZM74Qg5u3Ix158hDFl7zLIfbpnWK2L4KNOH/L61iomtFfxL+O3hBath943Q+erISCGWz7ZTcbhg2zWe67ch9le5IXbJtAz83UO7prFtOhoLGecdIbEDOFfaf8ixs9zwiurs3HfwnT8jBpmXdt43PvMXvCUjlNYm7+WD0d+SKRPZJOPmVWVxc7inVTbqrkxuCde+Tuw+MdgTBzCV4fNzPjyAA5RjU+7ZxuW6eN/Iy8Ou5MgHz2KovDd/pPYnG6u6hndpH6r08rsfbPZU7KnoU1XJl7NsaMXc6zYTmmdjc7B8Fn8MozHlvKsayofmTxP5BnaLEIbsBeAj0d+3NDja05mSR3/XXuMzOI6Mivz8El8GYQbe8UANNWjqXd5nirT+B7CGLQXRZ+H2+mDy5SM2iuHDmHhJAcl8cyAZ5occ5sKNpFTk4OvUKOsfx6120nv1Em0Kc+BY6shqgdMXdJ8wxSF8rpCDtfmsODoAmYNm/XXDwDGeG/FkmtuNK0kt5bFz23Hv3onVz7aBe+uY07PLEqH9wZ7TsQP5zacjM/k2Pspr25+nM/8PU8Jbc4vxN91ahz01k3Qpkuj8nannXkHl/LJ0bcpt3pOFkLRMj3ufV5bcZL3p6bhyFrLpfvuRu12oPhFI3rfDEeWQsFOCEyAO7aB1gimUmy2Wr4q28WnGZ/SPaw749qNa7ihVFZnY93RUj7cksvhk57nlB8dGsUt4VkQnkKJw8ymlU8zz3WMMpWWlzq9SWJKH74/UMyVPaJwuxWufX8HmSV1OFwKj7U7QduKJ7k/LAQQfFtu5pBiIVXRE3vHLp47NIf5R+bzr7R/MSzqaoJ9dE26xY24nPBaKpiK4cp3uSrvC7KqMllYeJIO9lPPew95DAY/1LDIuqOl3PrpHh6/vCNT+8UDnoN18MLBGDVGOod2ZkziGIbHDafe5qTn3KsRmho6OP+Pz27qg5fu9CN5DpebE5X1hPjqOVx6gq+PrORo/VqO1RymrX8SVQXDOWkuZHDEFbx7XS8en7OYiwrep3daH8JGPQra089U786t5KrZ27h/eHs6R/lz40e7mNwnlsdGdcRbf3qdB8sPsjZ/LYpbx/zNLvxFO/535zC0aoHTraAt2ceybSt5rOpLnFpPgNUpCvZTB7faFYq65BZuH9Cbmwa2bbw9q3JxLbwedXE6pUoAzxruZ8JFKfRdO4FMdxRLXBex0d2Fwap93K75Fo0KjMpPHy0VbIm8AeuJdIaqf2g0p6z9JK450JPPg+YQYT7KytSXuGWP56bnVzem0GPDNPIqj7J06AMkh3Uj1CuUziGdEUJQUFVPucnOQ4v3kVniuQhbff8gksJOBWWbicPpH7LXJ4Dnd7/YsM67u9/NzZ1vbji5rT+xHrPDzIxNjd/on1FRyfPBQbxRYeWJiicIjQsgS/+IZ/8oHo1a8cNa3QU/g4ZJfWJZnVHC8TLPuWDHo0MJ9/v5F6UK6gqYuXUmu4p3obg1dHS8whVxBiYXPo3qxHZAQRFq9sVPY31UBHMLPMHXXjGQUMdVfHRjb5LCmp47duZUcu3723Er4KVVc3GHMO4dGczYby8HwG2LQKUvbrRM//A+dMoPY0F2ewoJpWu0P5/d1Adfw8/0uq018M0dcPR7mLYCYnoB4NryX9SrHuezxFfp3kZHakwI+0sdxBevxMvLiNjzISpjAOLmtRAQ+/d4D8CY4KXUZ5sbdqYf9pWwfe4h1HUVRNS8xYbLH+WRay4mxEdPcY2Vz3fkcbn/cZK/nwSXPgP972pUX+3xnfh+eikChSU+3uzT67iu0pu9iXdxZd7/oepwOYyf02iZ9zYe59llRxCaKrwTXybCK4oFYz7GXxfExS+tp7C6ng26+wgSdfiKnxycQW2hMhsiOnuCUvEBcDuaDFMBHC8zcc272yg3ebqo4X56gm0FPM3b9BCZDeXqFT3zjLG82cZGlMPJ7MGvEt/uskZ12Z1u7vx8L23LpvF5iEKC3cG0mlrGBnWFsA64f5jHPnciq5Ue7Iw6yBFdJY7aLlwcOoXZEy/D7rKz7sQ6DpUfYnrn6Z6uva0OPhoNJ9Ohx1Rm+HuxNHcZD3a9i+srSsA/Bra/A+WZcPkrbPO7jCUHy/kmvRDrqWeXF9zSl6QwH3bmVOIy/sCizPkUVR2j1GkizKWhWjFg15iwlQ1HU34RLlS8NbU/QzuEkXGylue+P8yWYxU/2UsU2scVk+jfke/3V/PUmFSm9I1D7azHNesi1NWe4TUGPghD/92w1GNfH2DJnlx2TTFi0Gm4dYWNlXlOIvwM3H9peyakxaAoCm+vO8ZXewvJLjejEvD5zX3p2zbYsz32fAwrPb3GcrWKTK2OMJeLEJeLfK2GPQY9z5e+ik3xDMfMurYHFyeHsu14BZ04Rtg3E1FsJu5y3E27i6dwz9B2nt7kD5/hXjkTleX0Z3UGd0A99i1EWEfPNg5OhJxNsHsuHF8LwFalM+86RjFN/T2D1Z6nqtyKQCUUSBmLbdwH3Lsgne8PFpMc7ssXV3jh98lQ6PgPuPpjUKnJKKpl2ke7KK61Nqz77kuSmL3hOCM7tcHpchMdaGRK8QvEnfgGpft1DLdkUGIrayh/a5dbmdJxCpW2SsZ+M7ah99THYmWHsfGJO8Lh4pVSC2t6jeODopUA1B15miP/Gc3R4jruW5hOdrnnxJ8a6ceholqCvXWsun8wQd5Nn7k/fLIWH72Gkqoy/r1iMgXetdxsTOCOjA2eNxnGvAUdLodv78Zx5DsGx0bj7xvJ3JGfMG9rDZ9tz8dHr+F/dw9oUv/Di/ez7OBJ1j94McE+px6gyFxB+sH53FZ/CLPLSqoNBtbX0KvXXbSN6EnQhhdR5W8Hn3C+bPs0K3cfov3Aq3hgSCwY/Nl6vJyCSotn2NZhhQ9GwMl0lIEPIs7YX+eu2c+4jZcRKJqOiDSSfDlM+vzvEgCMSmVWJUaNkRVHNpP+31p07nou3voKPt2KGN7mbUDw2jVdWXagmFUZJRg1CpuNDxLsOEnd8Jfx9fFFUWnYYwqm+4orsSo6Brnf4ea0IBLDA3h9SxmHyhw8Y/iUiWIVZbcdwM/XHy8vbyx2Fxe9sJb4AA2PhW5FlXYlHePbeu7Su91sP5rP5s+f50H1fL6Ifozlxb6MtK/gKv0Oqke/z1pHZ8YpqxFbXgPfSAhNBkslHP4fTP4C2l4MGh0Ol5uJ721n34lqhiUHMyMN4nMWeg7uU/YHj+RAqYNVgZOYdddY/rvyZr4u20WAy83XQ9/FmDAIOPUGsrWCzRkZPLP/dkLrAxmsnsjDXYC+d2B3w0uvPM2M+ldRC4VytYr/BIWzzlsLAvyUTqj0JVTbTx/QQ2IuwetQJc9XfEuN8GX3Ncu5d8ckwoxhLPrHIoKNp15cqcqFN7oCsNLVk2fEzYRHxfPM2E7c/Mlu8irrG+4fX5QUzPMJ6ei3Psrd4WGEupwY3G4SfNKwet/BNQdvweVWmOj4Nw7vSMpNNsJEFbdovqenXzV6g5Gt0dOp8W7LnE3ZWB1uJvaK4fnxXTw3qZc9CLve5+XIV0kr+oyL2esJUqZSnN7h7K3xprc43PAZ7Z0msrbDkzyz7DAltTZ2PDKUfy3ez+rDJXSNCWBQuxD6JQbTPwLY8yFsehUc9ZA0HDpfTZlNw9G96zjslcaKAi2L7Xc01L11wIe8cCSMjIIKYkUJE9XruFmzDIDRtqcZOXwkd13SrvHOX30C9i/w9CS7TIQ+t/58HoGqXMjZRFX8ZTg0PpjtLiylx7Guf5VwTT1RV78EAbENy2/KKmPaR7uYkBbDM96LYOubcMNSiB/A3fN/4H/7igDQ4mTO9WlcrD/GG0f8eG1jEb3EEb7Q/6fR6rcb9GzUtSE+7hJerN+KzV3fME+j0vCsNo7A3K30veIDXtn/OZ+bMrFrbJ4CigrE6ZebXqg1EjhkHv06ebaHw+Umr6KetiHeCAEjXt9IZomJxFBvRnVuQ2qkPz3jAgn11WM9sY/Ob+fiQM2ngR8wwLKGy6IjKdRqiHQ4eavvk7TrdI1nRW4XK9Y8xINFK3k9sA9Dx7zvOc4Kqhk3aytOt8K/R6eQFhdI15gAPtmWy8wlhxjdKYS3JvUEtQYOfQNf3gRuB5laLdk6LUPN9TS5tu9+HWStBFPjl91W9/mAmzacDohzg+cx1LyUfzr/SU74CKb2i6NtqA/eejVj397CJeEWRmp+YFW+mxq8CaaWIFFHL9VRXnFezT/UW/mn5hss0QPwunnZXz8AhEZGKgez9hHuHcoNTz9Ir4JRpB54mQBRgPdwNe+nfszC3Scayo/u0ga70036kSx26m5rts5tQWNJufl9/I2nv6bZG47z3fJlfKd/vGGaTe1DgcOXT1yXMm1AW+J2PAFqPYR1AO8wz9W86VR3T+cD92ew86SLCe9u5doe4czb67nZ+q8Rydw+ONFzZQfgtMPsAVB+1FPfpM+ZsSeABT+U8Na4JEYfuh/yNje0oyIkjcsKbqSUQK5Ji+Gx0R3xO9V93PW/25hWuYVANOi8gvHX+1NWX9Zwo9LodjPd9588tzuaWdf24NKUcJ77/ghzN+cw9x+BmOwKwxP0GD8axv7EIdxoteHQebZnuGMi+dXl6ENXN7TlsUIVT9U/hjbqGxSvAywZu4S2/o2HNVZ+9QHt0p8nQVWCYghAjJ8L7YZRXW9n9oZsyk02Fu8pQIWbdbr70fmH0b9sBvOvbkOfoy8hMpc3qq/UkMDrykT6xngxOucZVK7TV6YExMFduymzKBRU1dMtJsDTWzywGL6cDv3u4niPR5j5xmw+0r6AxjsIpfMEcjP3U1VWSE9VVuOdY9TL7Akfz/h3tjVMenRUB24ekICozAaNHj4dCxXHILQjjH4VYvp63ok4Q0FVPa+tyOD5wuvR1hWAzgd7wlB0RxuP315pe4phl45uvH/8QR75aj9f7ilky71phL7TAfrfTXryvUyYvY37O5m4Wb0UkbkcVVAClGagaAzka9oSZ/Xca9niSuV+7eNEWLIYpt7Lpao9JKtOMNM1gW9iT6DoCukV2o0JVZWMzNoMw54kp8MtjH17C04q6Zb2HVckjaFrSA+eXX0be60lTDLbebS0GDqMhonzmm23w+Xmsf9+wLWVb+ODhUcdN3FQ24kb4sr514k7SXcn8oM7iRs1K9gRMYk2F49il7OKF9L/i8Vl45YutzA1ZSq19lrGfjOWILfCkpIqvO473DBE+MhX+5m/03McRFLOrUNTeXJtCWrFya6YtwisPui55+iyQWR3GPuOpze4631IGgpj/gsn90HpYXA7of/dYC6DQ9/grD6BZscsANLdbbnK/iRONIRSzQ79nXzsupSnnNc3+dzhfnq+ufMi2vgbsTldrDtSxqasMuqsTh4amcyxUhP3fbiGWdo3iVGVEvOf7L9+AIgKT1TWZawle18ZxxZV41udTvsjnxI+1EJddCpd7/ua0lorU+buILPExJypaQxPCQfgq49ew3h8KatdPRmq3kuIqKG2/wyGDRsNmsZdu3q7kw82ZTPlwA0EVB/65Ub5RYPB39MFD06E4CRIGga+ESiKQu9n11BWZ2u0yD1D23Hf8DOeqMjbCh+eHrY57m5DbtxVDK1bAtX5p8sNewr63cWb63Mw2Zw8clmHJjeOliwcx7dVBwgxBHFSBfER3UnM34vJVMzFKZNIHPIsV87a2nBPAeCG/vE8OeaMdxsWToHD/6O+6xSWt72bGV+l43L4ceugtszaeIhBoW9zNKAERWNApdJjcphI8hrINxPebtSWY6V1XP7mZgYmhTAnZjli08unNsB+CDz96OuhLd+RuPIGDMLB7fZ72Ky9iH1PXIoKxTOckbfFMyxhLvOMh9Z7nuhB7w9Tv4HsdZ6g+/1DENXTc/WqPeNZ7PmTPUNV9x0CIXhiyUG+3HYYt1qPWqunzuqka7Q/S0bjGZ7bPhvWe24+KiHJZJu1HDN0wdT7XsbXfea5Qj5Tl4kw7Enwa9N0/ziTrQ7qK2H5DDi6rNEsu8aXTwZvZPqAhPPyHP1vlVdhZsjL67k4OYz3lCdxlB1nWNUjXGHcz0Pu9xsXTpsOtYVwKjhn9nic1X5XkltupqDKwrSLEsgqqSNu7e2MUu/EARzTJdDRnoOi0vC+cTpvmIZisnluNjf01M5QY6vBS+OFdtVM2D4Lrv0S2g1r2nC3C/t/++CuK0WrVWOx2vnOkcZEzfpGxXaFjqPX7XMbgnNWVRYPbHiAnJocfLQ+6NQ6au21fJ/2BBELr4crZkF3z1M5FruLRbtPsOe793hT59nHc4gkgaLTK/CL8vQopy45fW+pvhIMAU0uCH4q94e1vLf4O57VzqW418OUpdxA8pb70R37noJrVkFEJxbvKcDqcDN7g+e5/lX3DaJdePMPRfxoU1YZ1831vICY98Lov34AiA1tr8x88yWs69z41JtI2/sSuZOuYLTrTQrTHiZqtGcc3WJ3sezAScZ2j0J9xpVUVkkdn23P44ruUXSM8MOo+5XEUW43uJ18unYvVS49t4QdwfC/2zxf9jWfeU4yoR1+IaUfrD1SwuwN2dwztB29E4L45/wfWH24hHeu7cmCXfmYbE4iA4w4yvPwKtzMQG0Gyepi2rmOeSoY8RzE9vGkDow+i7cNs1bBvGae5Q/vDLduBJWKmnoHSw+cZMvxchxON29N7oFOc8ZOaq2FeVfDie2QeiWm0O7UdrqeyJAA1i1+hyEHZ1CUMpqng/yxOC3UFF7K3iw/hvx/e/cfZFV533H8/ZUfLoiw4LIsAgoKIr8UKKYgMhqIKaXrj1iSiTHINIxMU9NKdBK0HXU0GZukHXVakyhEEqcabaoQhVgVASfaWhCV32BBi0LAXQi7gAL7i2//eM7uvbALLHvv3bvs83nN3Ln3nHvuuc997t7zOed5nnN2aG9mXXURo/r14JN9h7jusXDk8sqcSVxafA689TAs/+GxHcPVh+CR4WHUFPDQuDcZO7CYqSObGBoJoV104yKoq4Y+I1N14g7LHgzvMXFOeI+OnaFsE8yfDGNnwLR/AuDgkRoeW7GNz47U8sqGT/nj59U8cP0IZl45MKzrwC74t6/Ani3HvnenrqGZJ92MRXDx5FN/L8dbPCc0HUEYoXP1XCgacvLX5Ng/vryZJ37/EeNsC8+nN+tcMAGG3xh2biDs1fpR2Ls1NGOe4O9/d1k5JYu/ge1MjVRa2O973PnhGG4YfT49unTiS8P6MG5gz2M6949R8TE8PglqD4cA75Z2rkf1IXhnPiy9D6YvgPPHUr3oOxzYuZEir+D3daMYO2IYNef0obD0B42Cde/hvfzuo9+xpnwN6/aso/TiUr47dg78bHz47sf/DUy+F/7ze/BZOWx9Dcc4ah2heBgdLhwP/a8I359Z+BtsYXi/vqmMkUu/QUnFarAO4HVQNBRuX3nMOo/U1HHgcA3FJ+n0Tret/DP2HKziysFF7SEAhvrcv/w5AIO3PsMVt15Frz/+c9gDv23ZsXt9uVBbDavmwZhvQpfCFq2i8lA1pf/6FjsrUh3EhV07Mbh3N84v7MJDN42iW+cOsP3NsMHp34LvrPpzeO1eKBwQNqwjp4cfasfTONN397pwVFKddDKVPgrFw2HBl8N02gip9Tv3c/P8/2nYoyvpXsCR2joqD9Vw/3XD+auJg1Lr/VUp7N8Jf5eMUHnyWtj5Doy4KXTS9zu9U+qPcbQOflgcDrMBikdA+UboVgLfegV6DWr0kl2Vhyk7cCTVXFSvrhZ+MRnGzgzD7VY+AWufTT0/7Dq49sHQsd+ish4NIfbpurARaSPXRr77hXU8984OJpy1kfsvP8ilV16XcfkOrV3E0wt/y66SKfz6D0VM/5MBPPSVUc1fwacb4PGJ4fG3XoULxsPBT+H5Wanm0Xv3Qtr5K2+vfJtzexYx8pIWhOqmF+E3tzae3/8KmPqj8Dvo1CX739mq+aGvasB4uGZuuO/c9dSva4Z20QmcHgAXXraP0qKXwpeVdFidKSoPVbN8Szk9z+nMF4ee+OzVNuH/3oRffy2159vjgjCM9bghtRWfV7N0cxk/WLKJg0fCBnjaqJJGY8VZ8yz89q9Dp/eap8P3N+kumHJfdsr7wSuw8DaoOhDKWrUfZi6Gvpdnvu6aw/DJ21ByORR0P2aD014cqalj9fYKJg4+L6tNUQ8u3sSC/wojsF6/8+omh1We1Iu3w/tPh8dXzw0jzKqSZszrHwtHeNm0Y1XYOQG46rtwxW3Qo+nrBGXN0bpwAmsT585kql0FQOeq/cz4ZiUFb86BKffDpKbP3JUs2fo6rHwcKj8OJ9WdoinqSE0dO/Ydok+PgoYO6gZVn8FPBoW9XwhtpHPWhaO4bDlaF4ZGFg8Le9qnaIOV3Cs7cIQHFm9kWEl3/nZKC5u6np8FG55PTU+6K9w6n/r/cZw29zDi6sIroWuv7K+/leU9AMysA7Aa+IO7l5rZIOA5oBfwHqOqDToAAAiySURBVDDD3atPto76AJjw33cy5tvdsLoq+PbbYQiWnDmeuwW2LIGb5sPQaU2eoCfSSNVB2LES3n8mjKTpd+IzdOVYmQZANnah7gA2p03/GHjE3YcAFUDjf9V1AlXF3bGy9aGTRhv/M8+NP4OZS+Cyr2njL8139rlhhN1Xf6mNfyvLKADMrD/wF8AvkmkDJgP1x3NPATc2d33dipPO3hHNfom0JQU9YNCkfJdCRJop0yOAR4HvA/Wn+J0HVLo3XHVqJ9CsHpZzD35Mcc9qKLoEujT9/y9FRCR7WhwAZlYKlLv7u+mzm1i0yU4GM5ttZqvNbHXXw2WMXvtTunbYAf1a3JwlIiKnIZOG9onA9WY2DSgAuhOOCArNrGNyFNAf0k+rS3H3ecA8gJEFXbxT7eec3XkfXPJnGRRJRESaq8VHAO5+j7v3d/eBwNeB5e5+C7ACqD9ldSZwggtbN9appG84EUdERHIuFwOp5wJ3mtk2Qp/Ak6dYvoGVXJr1EyVERKRpWRlr6e5vAG8kjz8Cmv5HsKfSPcdn5ImISIO2dSplj8b/Ak5ERHKjbQWAjgBERFpN2wiAs5yScZW5vyiTiIg0aBMBUFBYQ8/Bh6DXxfkuiohINNpEADQoHJDvEoiIRKPtBMDwG/JdAhGRqLSNACgZBdN/me9SiIhEpW0EwFkddQKYiEgraxsBICIirU4BICISKQWAiEikFAAiIpFSAIiIREoBICISKQWAiEikFAAiIpFSAIiIREoBICISKQWAiEikFAAiIpFSAIiIREoBICISKQWAiEikFAAiIpFSAIiIREoBICISKQWAiEikFAAiIpFSAIiIREoBICISKQWAiEikFAAiIpFSAIiIREoBICISqRYHgJkNMLMVZrbZzDaa2R3J/F5mttTMtib3PbNXXBERyZZMjgBqgbvcfRgwHrjdzIYDdwPL3H0IsCyZFhGRNqbFAeDuu939veTxQWAz0A+4AXgqWewp4MZMCykiItmXlT4AMxsIjAFWAn3cfTeEkACKs/EeIiKSXRkHgJl1A14A5rj7gdN43WwzW21mq/fs2ZNpMURE5DRlFABm1omw8X/G3Rcms8vMrG/yfF+gvKnXuvs8dx/n7uN69+6dSTFERKQFMhkFZMCTwGZ3fzjtqZeAmcnjmcCLLS+eiIjkSscMXjsRmAGsN7M1yby/B34E/MbMZgGfAF/NrIgiIpILLQ4Ad38LsBM8PaWl6xURkdahM4FFRCKlABARiZQCQEQkUgoAEZFIKQBERCKlABARiZQCQEQkUgoAEZFIKQBERCKlABARiZQCQEQkUgoAEZFIKQBERCKlABARiZQCQEQkUgoAEZFIKQBERCKlABARiZQCQEQkUgoAEZFIKQBERCKlABARiZQCQEQkUgoAEZFIKQBERCKlABARiZQCQEQkUgoAEZFIKQBERCKlABARiZQCQEQkUgoAEZFIKQBERCKlABARiVROAsDMpprZB2a2zczuzsV7iIhIZrIeAGbWAfgp8OfAcOBmMxue7fcREZHM5OII4AvANnf/yN2rgeeAG3LwPiIikoFcBEA/YEfa9M5knoiItCEdc7BOa2KeN1rIbDYwO5msMrMNOSjLmagI2JvvQrQRqosU1UWK6iJlaCYvzkUA7AQGpE33B3Ydv5C7zwPmAZjZancfl4OynHFUFymqixTVRYrqIsXMVmfy+lw0Ab0DDDGzQWbWGfg68FIO3kdERDKQ9SMAd681s+8ArwIdgAXuvjHb7yMiIpnJRRMQ7v4y8PJpvGReLspxhlJdpKguUlQXKaqLlIzqwtwb9c+KiEgEdCkIEZFI5T0AYrtshJktMLPy9GGvZtbLzJaa2dbkvmcy38zsX5K6WWdmY/NX8uwyswFmtsLMNpvZRjO7I5kfY10UmNkqM1ub1MUDyfxBZrYyqYt/TwZVYGZnJ9PbkucH5rP8uWBmHczsfTNbkkxHWRdmtt3M1pvZmvoRP9n8jeQ1ACK9bMSvgKnHzbsbWObuQ4BlyTSEehmS3GYDP2+lMraGWuAudx8GjAduT777GOuiCpjs7pcDo4GpZjYe+DHwSFIXFcCsZPlZQIW7DwYeSZZrb+4ANqdNx1wXX3T30WlDX7P3G3H3vN2ACcCradP3APfks0yt9LkHAhvSpj8A+iaP+wIfJI+fAG5uarn2dgNeBK6NvS6ArsB7wJ8STnbqmMxv+K0QRthNSB53TJazfJc9i3XQP9mwTQaWEE4ujbUutgNFx83L2m8k301AumxE0MfddwMk98XJ/CjqJzlsHwOsJNK6SJo81gDlwFLgQ6DS3WuTRdI/b0NdJM/vB85r3RLn1KPA94GjyfR5xFsXDrxmZu8mV0+ALP5GcjIM9DQ067IREWv39WNm3YAXgDnufsCsqY8cFm1iXrupC3evA0abWSGwCBjW1GLJfbutCzMrBcrd/V0zu6Z+dhOLtvu6SEx0911mVgwsNbMtJ1n2tOsi30cAzbpsRATKzKwvQHJfnsxv1/VjZp0IG/9n3H1hMjvKuqjn7pXAG4R+kUIzq99JS/+8DXWRPN8D2Ne6Jc2ZicD1ZradcCXhyYQjghjrAnffldyXE3YMvkAWfyP5DgBdNiJ4CZiZPJ5JaA+vn39r0rs/Hthff+h3prOwq/8ksNndH057Ksa66J3s+WNmXYAvETpAVwDTk8WOr4v6OpoOLPek0fdM5+73uHt/dx9I2B4sd/dbiLAuzOwcMzu3/jHwZWAD2fyNtIFOjmnA/xLaPP8h3+Vphc/7LLAbqCEk9ixCm+UyYGty3ytZ1gijpD4E1gPj8l3+LNbDVYTD03XAmuQ2LdK6uAx4P6mLDcB9yfyLgFXANuA/gLOT+QXJ9Lbk+Yvy/RlyVC/XAEtirYvkM69Nbhvrt4/Z/I3oTGARkUjluwlIRETyRAEgIhIpBYCISKQUACIikVIAiIhESgEgIhIpBYCISKQUACIikfp/Ua2w+XzGdPgAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 玩家总收益10轮移动平均，不同gamma对比\n",
    "print(\"不同learning_rate对平均收益的影响\")\n",
    "plt.clf()\n",
    "plt.plot(moving_average([sum(reward) for reward in rewards_1d],10),label ='0.9')\n",
    "plt.plot(moving_average([sum(reward) for reward in rewards_1c],10),label ='0.6')\n",
    "plt.plot(moving_average([sum(reward) for reward in rewards_1b],10),label ='0.3')\n",
    "plt.plot(moving_average([sum(reward) for reward in rewards_0],10),label ='0.1')\n",
    "plt.plot(moving_average([sum(reward) for reward in rewards_1a],10),label ='0.05')\n",
    "plt.plot([50]*3000)\n",
    "plt.ylim(0,101)\n",
    "plt.xlim(0,500)\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "不同learning_rate对玩家决策的影响\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 玩家决策，不同gamma对比\n",
    "print(\"不同learning_rate对玩家决策的影响\")\n",
    "plt.clf()\n",
    "plt.plot(moving_average([sum(reward) for reward in actions_1d],1),label ='0.9')\n",
    "plt.plot(moving_average([sum(reward) for reward in actions_1c],1),label ='0.6')\n",
    "plt.plot(moving_average([sum(reward) for reward in actions_1b],1),label ='0.3')\n",
    "plt.plot(moving_average([sum(reward) for reward in actions_0],1),label ='0.1')\n",
    "plt.plot(moving_average([sum(reward) for reward in actions_1a],1),label ='0.05')\n",
    "plt.plot([50]*3000)\n",
    "plt.ylim(0,101)\n",
    "plt.xlim(0,500)\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "不同learning_rate对玩家决策的影响\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 玩家决策，不同gamma对比\n",
    "print(\"不同learning_rate对玩家决策的影响\")\n",
    "plt.clf()\n",
    "plt.plot(moving_average([sum(reward) for reward in actions_1d],1),label ='0.9')\n",
    "plt.plot(moving_average([sum(reward) for reward in actions_1c],1),label ='0.6')\n",
    "plt.plot(moving_average([sum(reward) for reward in actions_1b],1),label ='0.3')\n",
    "plt.plot(moving_average([sum(reward) for reward in actions_0],1),label ='0.1')\n",
    "plt.plot(moving_average([sum(reward) for reward in actions_1a],1),label ='0.05')\n",
    "plt.plot([50]*3000)\n",
    "plt.ylim(30,70)\n",
    "plt.xlim(0,500)\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "平均收益对比\n",
      "  0.05 48.87\n",
      "   0.1 48.34\n",
      "   0.3 46.4\n",
      "   0.6 44.57\n",
      "   0.9 45.18\n"
     ]
    }
   ],
   "source": [
    "print(\"平均收益对比\")\n",
    "print(\"  0.05\",sum(sum(r) for r in rewards_1a[400:500])/len(rewards_1a[400:500]))\n",
    "print(\"   0.1\",sum(sum(r) for r in rewards_0[400:500])/len(rewards_0[400:500]))\n",
    "print(\"   0.3\",sum(sum(r) for r in rewards_1b[400:500])/len(rewards_1b[400:500]))\n",
    "print(\"   0.6\",sum(sum(r) for r in rewards_1c[400:500])/len(rewards_1c[400:500]))\n",
    "print(\"   0.9\",sum(sum(r) for r in rewards_1d[400:500])/len(rewards_1d[400:500]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "不同gamma对玩家决策的影响\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 玩家决策，不同gamma对比\n",
    "print(\"不同gamma对玩家决策的影响\")\n",
    "plt.clf()\n",
    "plt.xlabel(\"Round\")\n",
    "plt.ylabel(\"Variance\")\n",
    "plt.plot(variance([sum(reward) for reward in actions_1d],10),label ='0.9')\n",
    "# plt.plot(variance([sum(reward) for reward in actions_1c],10),label ='0.6')\n",
    "plt.plot(variance([sum(reward) for reward in actions_1b],10),label ='0.3')\n",
    "plt.plot(variance([sum(reward) for reward in actions_0],10),label ='0.1')\n",
    "plt.plot(variance([sum(reward) for reward in actions_1a],10),label ='0.05')\n",
    "plt.xlim(0,500)\n",
    "# plt.axvline(51)\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "不同gamma对平均收益的影响\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 玩家总收益10轮移动平均，不同gamma对比\n",
    "print(\"不同gamma对平均收益的影响\")\n",
    "plt.clf()\n",
    "plt.xlabel(\"Round\")\n",
    "plt.ylabel(\"Reward\")\n",
    "plt.plot(moving_average([sum(reward) for reward in rewards_1d],10),label ='0.9')\n",
    "# plt.plot(moving_average([sum(reward) for reward in rewards_1c],10),label ='0.6')\n",
    "plt.plot(moving_average([sum(reward) for reward in rewards_1b],10),label ='0.3')\n",
    "plt.plot(moving_average([sum(reward) for reward in rewards_0],10),label ='0.1')\n",
    "plt.plot(moving_average([sum(reward) for reward in rewards_1a],10),label ='0.05')\n",
    "plt.plot([50]*3000)\n",
    "plt.ylim(35,65)\n",
    "plt.xlim(0,500)\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "平均收益对比\n",
      "  0.9 44.98\n",
      "  0.6 44.43\n",
      "  0.3 46.425\n",
      "  0.1 48.3925\n",
      " 0.05 48.7975\n"
     ]
    }
   ],
   "source": [
    "print(\"平均收益对比\")\n",
    "print(\"  0.9\",sum(sum(r) for r in rewards_1d[100:500])/len(rewards_1d[100:500]))\n",
    "print(\"  0.6\",sum(sum(r) for r in rewards_1c[100:500])/len(rewards_1c[100:500]))\n",
    "print(\"  0.3\",sum(sum(r) for r in rewards_1b[100:500])/len(rewards_1b[100:500]))\n",
    "print(\"  0.1\",sum(sum(r) for r in rewards_0[100:500])/len(rewards_0[100:500]))\n",
    "print(\" 0.05\",sum(sum(r) for r in rewards_1a[100:500])/len(rewards_1a[100:500]))\n",
    "# print(\"   0.6\",sum(sum(r) for r in rewards_1c[400:500])/len(rewards_1c[400:500]))\n",
    "# print(\"   0.9\",sum(sum(r) for r in rewards_1d[400:500])/len(rewards_1d[400:500]))\n",
    "# print(\"random\",sum(sum(r) for r in rewards_sp[100:500])/len(rewards_sp[100:500]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "决策方差对比\n",
      "  0.9 40.675774999999994\n",
      "  0.6 49.326775\n",
      "  0.3 27.921975000000003\n",
      "  0.1 7.189975\n",
      " 0.05 4.528993749999999\n"
     ]
    }
   ],
   "source": [
    "print(\"决策方差对比\")\n",
    "print(\"  0.9\",np.var([sum(r) for r in actions_1d[100:500]]))\n",
    "print(\"  0.6\",np.var([sum(r) for r in actions_1c[100:500]]))\n",
    "print(\"  0.3\",np.var([sum(r) for r in actions_1b[100:500]]))\n",
    "print(\"  0.1\",np.var([sum(r) for r in actions_0[100:500]]))\n",
    "print(\" 0.05\",np.var([sum(r) for r in actions_1a[100:500]]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
